ALGB: Algebra, Incidence Geometry

Current research publications

Overview of publications

Books and Book Chapters

  1. E. Jespers, Á. del Río, Orders, Group Rings and Units, de Gruyter, in preparation.
  2. M. Lavrauw, G.L. Mullen, S. Nikova, D. Panario, L. Storme, Theory and applications of finite fields, Chapter in International Conference on Finite Fields and Applications 2011, American Mathematical Society, volume 479, 2012.
  3. M. Lavrauw, O. Polverino, Finite Semifields, Chapter in Current Research Topics in Galois Geometries (J. De Beule, L. Storme, eds.), 2011.
  4. Noncommutative structures in mathematics and Physics, (S. Caenepeel, J. Fuchs, S. Gutt, C. Schweigert, A Stolin, F. Van Oystaeyen, eds.), Royal Flemish Academy of Belgium, 2010.
  5. M. Lavrauw, L. Storme, G. Van de Voorde, Linear codes from projective spaces, Chapter in Error-Correcting Codes, Finite Geometries, and Cryptography (A.A. Bruen, D.L. Wehlau, eds.), American Mathematical Society, AMS Contemporary Mathematics (CONM) book series, volume 523, 2010, 185-202.
  6. Noncommutative rings and geometry: in honour of Freddy Van Oystaeyen, at the occasion of his sixtieth birthday, (S. Caenepeel, A. Verschoren, eds.), Algebr. Represent Theory, volume 12, 2009, no. 2-5.
  7. New techniques in Hopf algebras and graded ring theory, (S. Caenepeel, F. Van Oystaeyen, eds.), Royal Flemish Academy of Belgium, 2007.
  8. E. Jespers, J. Okniński, Noetherian semigroup algebras, Springer, Series: Algebra and Applications, volume 7, 2007.
  9. Categorical methods in Hopf algebras, (S. Caenepeel, ed.), Appl. Categorical Structures, volume 14, 2006, no. 5-6.
  10. Hopf algebras in non-commutative geometry and physics, (S. Caenepeel, F. Van Oystaeyen, eds.), Marcel Dekker, Lecture Notes in Pure and Applied Mathematics, volume 239, 2005.
  11. Interactions between Ring theory and number theory, (M. Boulagouaz, S. Caenepeel, M. Charkani, eds.), Hindawi Publishing, Proceedings of the 2ième Colloque International d'Algèbre et Théorie des Nombres, 2005.
  12. Frobenius and separable functors for generalized module categories and nonlinear equations, (S. Caenepeel, G. Militaru, Shenglin Zhu, eds.), Springer Verlag, Lecture Notes in Mathematics, volume 1787, 2002.
  13. p-adic numbers in number Theory and Functional Analysis,, (S. Caenepeel, ed.), Bull. Belgian Math. Soc. - Simon Stevin, A collection of papers in honour of Nicole De Grande-De Kimpe and Lucien Van hamme, at the occasion of their retirement, 2002.
  14. Hopf algebras and quantum groups, (S. Caenepeel, F. Van Oystaeyen, eds.), Marcel Dekker, Lecture Notes in Pure and Applied Mathematics, volume 209, 2000.
  15. S. Caenepeel, Brauer groups, Hopf algebras and Galois theory, Kluwer Academic Publishers, K-Monographs in Mathematics, volume 4, 1998.
  16. Rings, Hopf algebras, and Brauer groups, (S. Caenepeel, A. Verschoren, eds.), Marcel Dekker, Lecture Notes in Pure and Applied Mathematics, volume 197, 1998.
  17. E.G. Goodaire, E. Jespers, C. Polcino Milies, Alternative loop rings, North-Holland Mathematics Studies, volume 184, 1996.
  18. S. Caenepeel, F. Van Oystaeyen, Brauer groups and the cohomology of graded rings, Marcel Dekker, Monographs and Textbooks in Pure and Appl. Math., volume 121, 1988.

Refereed Articles and Preprints

  1. A. Bächle, M. Caicedo, I. Van Gelder, A classification of exceptional components in group algebras over abelian number fields, preprint. 23 pages [arXiv]
  2. A.L. Agore, G. Militaru, Bicrossed products, matched pair deformations and the factorization index for Lie algebras, preprint. 17 pages [arXiv]
  3. S. Rottey, G. Van de Voorde, Pseudo-ovals in even characteristic and ovoidal Laguerre planes, preprint. [arXiv]
  4. F. Eisele, On the IYB-property in some solvable groups, preprint. [arXiv]
  5. A. Bächle, A survey on the normalizer problem for integral group rings, preprint. 8 pages
  6. A.L. Agore, G. Bontea, G. Militaru, The classification of all crossed products H_4 k[C_n], preprint. 13 pages [arXiv]
  7. G. Olteanu, I. Van Gelder, On idempotents and the number of simple components of semisimple group algebra, preprint. [arXiv]
  8. A.L. Agore, G. Militaru, The global extension problem, crossed products and co-flag non-commutative Poisson algebras, preprint. 28 pages [arXiv]
  9. A.L. Agore, G. Militaru, Classifying complements for groups. Applications, preprint. 13 pages [arXiv]
  10. D. Bulacu, S. Caenepeel, B. Torrecillas, On cross product Hopf algebras, preprint. [arXiv]
  11. E. Jespers, A. Kiefer, Á. del Río, A presentation of the Hilbert modular group via its action on the direct product of two hyperbolic 2-spaces, preprint.
  12. E. Jespers, D. Riley, Behaviour of the Frobenius map in a non-commutative world, II, preprint. 9 pages
  13. A.L. Agore, G. Militaru, The extending structures problem for algebras, preprint. 34 pages [arXiv]
  14. A.L. Agore, G. Bontea, G. Militaru, Ito's theorem and metabelian Leibniz algebras, preprint. 12 pages [arXiv]
  15. E. Jespers, J. Okniński, Prime ideals in algebras determined by submonoids of nilpotent groups, preprint. 17 pages
  16. E. Jespers, S.O. Juriaans, A. Kiefer, A. de A. e Silva, A.C. Souza Filho, Poincaré Bisectors in Hyperbolic Spaces, preprint. 23 pages [arXiv]
  17. E. Jespers, J. Okniński, M. Van Campenhout, Finitely generated algebras defined by homogeneous quadratic monomial relations and their underlying monoids, preprint. 22 pages
  18. S. Rottey, J. Sheekey, G. Van de Voorde, Subgeometries in the André/Bruck-Bose representation, preprint. [arXiv]
  19. A. Bächle, L. Margolis, Rational conjugacy of torsion units in integral group rings of non-solvable groups, preprint. 17 pages [arXiv]
  20. A. Bächle, The subgroup normalizer problem for integral group rings of nilpotent groups, preprint. 11 pages [arXiv]
  21. A.S. Gordienko, Co-stability of radicals and its applications to PI-theory, Algebra Colloquium, in press. [arXiv]
  22. A.S. Gordienko, Amitsur's conjecture for polynomial H-identities of H-module Lie algebras, in press. [arXiv]
  23. E. Jespers, D.M. Riley, M. Shahada, Multiplicatively collapsing and rewritable algebras, Proceedings Amer. Math. Soc., in press.
  24. F. Eisele, A. Kiefer, I. Van Gelder, Describing units of integral group rings up to commensurability, J. Pure Appl. Algebra, volume 219, 2015, no. 7, 2901–2916. [arXiv]
  25. F. Eisele, Basic Orders for Defect Two Blocks of ZpSn, Comm. Algebra, in press. [arXiv]
  26. E. Jespers, A. Kiefer, Á. del Río, Revisiting Poincaré's Theorem on presentations of discontinuous groups via fundamental polyhedra, Expositiones Mathematicae, in press.
  27. I. Goyvaerts, J. Vercruysse, A note on the categorification of Lie algebras, Proceedings of the 9-th International Workshop Lie Theory and Its Applications in Physics (LT-9), 20-26 June 2011, Varna, Bulgaria, in press. [arXiv]
  28. D. Bulacu, S. Caenepeel, Algebras graded by discrete Doi-Hopf data and the Drinfeld double of a Hopf group-coalgebra, Algebras Represent. Theory, in press. [arXiv]
  29. A.L. Agore, G. Militaru, Extending structures I: the level of groups, Algebr. Represent. Theory, in press. [arXiv]
  30. A.L. Agore, G. Militaru, Extending structures for Lie algebras, Monatsh. fur Mathematik, in press. [arXiv]
  31. F. Cédo, E. Jespers, G. Klein, Finitely Presented Monoids and Algebras Defined by Permutation Relations of Abelian Type, II, Journal of Pure and Applied Algebra, in press. [arXiv]
  32. F. Cédo, E. Jespers, J. Okniński, Nilpotent groups of class three and braces, Publicacions Matemátiques, in press.
  33. A. Kiefer, D. Leemans, On pairs of commuting involutions in Sym(n) and Alt(n), Communications in Algebra, in press.
  34. E. Jespers, S.O. Juriaans, A. Kiefer, A. de A. e Silva, A.C. Souza Filho, From the Poincaré Theorem to generators of the unit group of integral group rings of finite groups, Mathematics of Computation, in press. [arXiv]
  35. G. Olteanu, I. Van Gelder, Construction of minimal non-abelian left group codes, Des. Codes Cryptogr., volume 75, 2015, no. 3, 359-373. [arXiv]
  36. I. Goyvaerts, J. Vercruysse, Lie monads and dualities, J. Algebra, in press. [arXiv]
  37. A.S. Gordienko, Algebras simple with respect to a Sweedler's algebra action, J. Alg. Appl., volume 13, 2015, no. 1, 1350069-1 - 1350069-18. [arXiv]
  38. A.S. Gordienko, M.V. Kochetov, Derivations, gradings, actions of algebraic groups, and codimension growth of polynomial identities, Algebr. Represent. Theory, volume 17, 2014, no. 2, 539-563. [arXiv]
  39. A.L. Agore, G. Bontea, G. Militaru, Classifying bicrossed products of Hopf algebras, Algebr. Represent. Theory, volume 17, 2014, 227–264. [arXiv]
  40. A.L. Agore, Classifying complements for associative algebras, Linear Algebra Appl., volume 446, 2014, 345-355. [arXiv]
  41. F. Cédo, E. Jespers, J. Okniński, Braces and the Yang-Baxter equation, Comm. Math. Phys., volume 327, 2014, no. 1, 101–116. [arXiv]
  42. A.L. Agore, S. Caenepeel, G. Militaru, Braidings on the category of bimodules, Azumaya algebras and epimorphisms of rings, Appl. Categ. Structures, volume 22, 2014, 29-42. [arXiv]
  43. Ph. Cara, S. Rottey, G. Van de Voorde, A construction for infinite families of semisymmetric graphs revealing their full automorphism group, J. Algebr. Comb., volume 39, 2014, 967-988. [arXiv]
  44. Ph. Cara, S. Rottey, G. Van de Voorde, The isomorphism problem for linear representations and their graphs, Adv. Geom., volume 14, 2014, 353-367. [arXiv]
  45. E. Jespers, Á. del Río, I. Van Gelder, Writing units of integral group rings of finite abelian groups as a product of Bass units, Math. Comp., volume 83, 2014, no. 285, 461-473. [arXiv]
  46. E. Jespers, M.H. Shahzamanian, Finite semigroups that are minimal for not being Malcev nilpotent, J. Algebra Appl., volume 13, 2014, no. 8, 1450063. [arXiv]
  47. A.S. Gordienko, Asymptotics of H-identities for associative algebras with an H-invariant radical, J. Algebra, volume 393, 2014, 92-101. [arXiv]
  48. S. De Winter, S. Rottey, G. Van de Voorde, Linear representations of subgeometries, Des. Codes Cryptogr., 2014, 1-13. [arXiv]
  49. E. Jespers, G. Olteanu, Á. del Río, I. Van Gelder, Central Units of Integral Group Rings, Proc. Amer. Math. Soc., volume 142, 2014, no. 7, 2193-2209. [arXiv]
  50. E. Jespers, J. Okniński, Krull orders in nilpotent groups, Archiv der Mathematik, volume 103, 2014, 27-37. [arXiv]
  51. I. Goyvaerts, J. Vercruysse, On the duality of generalized Lie and Hopf algebras, Advances in Mathematics, volume 258, 2014, 154-190. [arXiv]
  52. A.L. Agore, Crossed product of Hopf algebras, Comm. Algebra, volume 41, 2013, 2519-2542. [arXiv]
  53. T. Penttila, G. Van de Voorde, Extending pseudo-arcs in odd characteristic, Finite Fields Appl, volume 22, 2013, 101–113.
  54. E. Jespers, M.H. Shahzamanian, A description of a class of finite semigroups that are near to being Malcev nilpotent, J. Algebra and Applications, volume 12, 2013, no. 5, 1250221. [arXiv]
  55. E. Jespers, G. Olteanu, Á. del Río, I. Van Gelder, Group rings of finite strongly monomial groups: central units and primitive idempotents, J. Algebra, volume 387, 2013, 99-116. [arXiv]
  56. G. Janssens, Primitive Central Idempotents of Rational Group Algebras, J. Algebra Appl., volume 12, 2013, no. 1, 5pp. [arXiv]
  57. M. Lavrauw, G. Van de Voorde, Scattered linear sets and pseudoreguli, Electronic J. Combin., volume 20, 2013, no. 1, 15pp. [file]
  58. A.S. Gordienko, Codimensions of polynomial identities of representations of Lie algebras, Proc. Amer. Math. Soc., volume 141, 2013, 3369 - 3382. [arXiv]
  59. A.S. Gordienko, G. Janssens, ZS_n-modules and polynomial identities with integer coefficients, Int. J. Algebra Comput., volume 23, 2013, no. 8, 1925-1943. [arXiv]
  60. A.L. Agore, G. Militaru, Classifying complements for Hopf algebras and Lie algebras, J. Algebra, volume 391, 2013, 193-208. [arXiv]
  61. A.L. Agore, G. Militaru, Unified products and split extensions of Hopf algebras, Contemporary Math. AMS, volume 585, 2013, 1-15. [arXiv]
  62. A.S. Gordienko, Structure of H-(co)module Lie algebras, J. of Lie Theory, volume 23, 2013, no. 3, 669 - 689. [arXiv]
  63. A.L. Agore, G. Bontea, G. Militaru, Classifying split extensions of Hopf algebras, J. Algebra Appl., volume 12, 2013, 1-24. [arXiv]
  64. A.S. Gordienko, On a formula for the PI-exponent of Lie algebras, J. Algebra and Applications, volume 13, 2013, no. 1, 1350069-1 - 1350069-18.
  65. A.S. Gordienko, Amitsur's conjecture for associative algebras with a generalized Hopf action, J. Pure Appl. Algebra, volume 217, 2013, no. 8, 1395 - 1411. [arXiv]
  66. P. Sziklai, G. Van de Voorde, A small minimal blocking set in PG(n,pt), spanning a (t − 1)-space, is linear, Des. Codes Cryptogr., volume 68, 2013, no. 1-3, 25-32. [arXiv]
  67. A.L. Agore, Coquasitriangular structures for extensions of Hopf algebras. Applications, Glasgow Math. J., volume 55, 2013, 201-215. [arXiv]
  68. A.L. Agore, G. Militaru, Unified products for Leibniz algebras. Applications, Linear Algebra Appl., volume 439, 2013, 2609-2633. [arXiv]
  69. F. Cédo, E. Jespers, G. Klein, Finitely Presented Monoids and Algebras Defined by Permutation Relations of Abelian Type, J. Pure Appl. Algebra, volume 216, 2012, no. 5, 1033-1039. [arXiv]
  70. E. Jespers, G. Olteanu, Á. del Río, Rational group algebras of finite groups: from idempotents to units of integral group rings, Algebr. Represent. Theory, volume 15, 2012, no. 2, 359-377. [arXiv]
  71. D. Bulacu, S. Caenepeel, On integrals and cointegrals for quasi-Hopf algebras, J. Algebra, volume 351, 2012, 390-425. [arXiv]
  72. Ph. Cara, A. Devillers, M. Giudici, C.E. Praeger, Quotients of incidence geometries, Des. Codes Cryptogr., volume 64, 2012, no. 1-2, 105-128.
  73. A.L. Agore, G. Militaru, Schreier type theorems for bicrossed products, Cent. Eur. J. Math., volume 2, 2012, 722-739. [arXiv]
  74. F. Eisele, p-Adic Lifting Problems and Derived Equivalences, J. Algebra, volume 356, 2012, no. 1, 90-114. [arXiv]
  75. E. Jespers, M.H. Shahzamanian, The non-nilpotent graph of a semigroup, Semigroup Forum, volume 85, 2012, no. 1, 37-57. [arXiv]
  76. J. Vanpoucke, A construction of a Franklin magic square of order 16, Ars Combinatoria, volume 107, 2012, 543-551.
  77. E. Jespers, M. Parmenter, Construction of Central Units in Integral Group Rings of Finite Groups, Proc. Amer. Math. Soc., volume 140, 2012, no. 1, 99-107.
  78. A.L. Agore, S. Caenepeel, G. Militaru, The center of the category of bimodules and descent data for non-commutative rings, J. Algebra Appl., volume 11, 2012, 1-17. [arXiv]
  79. S. Rottey, L. Storme, Maximal partial line spreads in non-singular quadrics, Des. Codes Cryptogr., 2012.
  80. Ph. Cara, R. Kieboom, T. Vervloet, Loops, nearfields and neardomains: a categorical approach, Bull. Belg. Math. Soc. Simon Stevin, volume 19, 2012, 847-859. [arXiv]
  81. M. Lavrauw, Finite semifields and nonsingular tensors, Des. Codes Cryptogr., 2012.
  82. D. Bulacu, S. Caenepeel, A monoidal structure on the category of relative Hopf modules, J. Algebra Appl., volume 11, 2012, 22pp. [arXiv]
  83. M. Lavrauw, A. Pavan, C. Zanella, On the rank of 3x3x3-tensors, Linear Multilinear Algebra, 2012.
  84. A.S. Gordienko, Graded polynomial identities, group actions, and exponential growth of Lie algebras, J. Algebra, volume 367, 2012, 26-53. [arXiv]
  85. G.G. Bastos, E. Jespers, S.O. Juriaans, A. de A. e Silva, Extensions of Automorphisms of Subgroups, Glasgow J. Math., volume 54, 2012, no. 2, 371-380.
  86. A.L. Agore, Categorical constructions for Hopf algebras, Comm.Algebra, volume 39, 2011, 1476-1481. [arXiv]
  87. D. Bulacu, S. Caenepeel, B. Torrecillas, The braided monoidal structures on the category of vector spaces graded by the Klein group, Proc. Edinburgh Math. Soc., volume 54, 2011, 613-641. [arXiv]
  88. V.A. Bovdi, E. Jespers, A.B. Konovalov, Torsion units in integral rings of Janko simple groups, Mathematics of Computation, volume 80, 2011, no. 273, 593-615. [arXiv]
  89. G. Olteanu, I. Van Gelder, Finite group algebras of nilpotent groups: A complete set of orthogonal primitive idempotents, Finite Fields Appl., volume 17, 2011, no. 2, 157-165. [arXiv]
  90. G. Van de Voorde, On sets without tangents and exterior sets of a conic, Discrete Math., volume 311, 2011, no. 20, 2253-2258. [arXiv]
  91. S. Caenepeel, I. Goyvaerts, Monoidal Hom-Hopf algebras, Comm. Algebra, volume 39, 2011, 2216-2240. [arXiv]
  92. G. Böhm, S. Caenepeel, K. Janssen, Weak bialgebras and monoidal categories, Comm. Algebra, volume 39, 2011, 4584-4607. [arXiv]
  93. M. Lavrauw, Finite semifields with a large nucleus and higher secant varieties to Segre varieties, Adv. Geom., 2011.
  94. A.L. Agore, Limits of coalgebras, bialgebras and Hopf algebras, Proc. Amer. Math. Soc., volume 139, 2011, 855-863. <a data-cke-saved-href="http://arxiv.org/abs/1003.0318" href="http://arxiv.org/abs/1003.0318" "="">[arXiv]
  95. A.L. Agore, G. Militaru, Extending structures II: The quantum version, J. Algebra, volume 336, 2011, 321-341. [arXiv]
  96. M. Lavrauw, L. Storme, G. Van de Voorde, A proof of the linearity conjecture for k-blocking sets in PG(n,p3), p prime, J. Combin. Theory, Ser. A, volume 118, 2011, no. 3, 808-818. [arXiv]
  97. M. Beattie, S. Caenepeel, S. Raianu, Stable equivalence of Morita type and Frobenius extensions, Ann. Univ. Bucharest - Math., volume 2, 2011, no. LX, 123-126. [arXiv]
  98. A. Bächle, W. Kimmerle, On torsion subgroups in integral group rings of finite groups, J. Algebra, volume 326, 2011, 34–46.
  99. E. Iwaki, E. Jespers, S.O. Juriaans, A.C. Souza Filho, Hyperbolicity of semigroup algebras II, Journal of Algebra and Applications, volume 9, 2010, no. 6, 871-876.
  100. S. Dodunekov, L. Storme, G. Van de Voorde, Partial covers of PG(n,q), European J. Combin., volume 31, 2010, no. 6, 1611-1616. [arXiv]
  101. F. Cédo, E. Jespers, J. Okniński, Finitely presented algebras and groups defined by permutation relations, J. Pure and Applied Algebra, volume 214, 2010, no. 7, 1095-1102. [arXiv]
  102. A.S. Gordienko, Codimensions of generalized polynomial identities, Sbornik: Mathematics, volume 201, 2010, no. 2, 235-251. [arXiv]
  103. S. Caenepeel, A. Marcus, Hopf-Galois extensions and an exact sequence for H-Picard groups, J. Algebra, volume 323, 2010, 622-657. [arXiv]
  104. A. Kiefer, D. Leemans, On the number of abstract regular polytopes whose automorphism group is a Suzuki simple group Sz(q), J. Combin. Theory Ser. A, volume 117, 2010, no. 8, 1248–1257.
  105. A.L. Agore, Monomorphisms of coalgebras, Colloq. Math., volume 120, 2010, 149-155. [arXiv]
  106. S. Caenepeel, Hopf-Galois extensions and isomorphisms of small categories, Mathematica, volume 52, 2010, no. 75, 121-142. [arXiv]
  107. G. Van de Voorde, On the linearity of higher-dimensional blocking sets, Electronic J. Combin., volume 17, 2010, no. 1, 16pp. [arXiv]
  108. F. Cédo, E. Jespers, J. Okniński, Retractability of set theoretic solutions of the Yang-Baxter equation, Advances in Mathematics, volume 224, 2010, 2472-2484.
  109. F. Cédo, E. Jespers, Á. del Río, Involutive Yang-Baxter Groups, Trans. Amer. Math. Soc., volume 362, 2010, 2541-2558. [arXiv]
  110. V. Pepe, L. Storme, G. Van de Voorde, On codewords in the dual code of classical generalised quadrangles and classical polar spaces, Discrete Math., volume 310, 2010, no. 22, 3132-3148. [arXiv]
  111. F. Cédo, E. Jespers, J. Okniński, Algebras and groups defined by permutation relations of alternating type, J. Algebra, volume 324, 2010, no. 6, 1290-1313. [arXiv]
  112. F. Borceux, S. Caenepeel, G. Janelidze, A monadic approach to Galois descent theory, Theory Appl. Categories, volume 23, 2010, 92-112. [arXiv]
  113. E. Jespers, Groups and set theoretic solutions of the Yang-Baxter equation, Note di Matematica, volume 30, 2010, no. 1, 1-12.
  114. M. Lavrauw, G. Van de Voorde, On linear sets on a projective line, Des. Codes Cryptogr., volume 56, 2010, no. 2-3, 89-104.
  115. A. Dooms, E. Jespers, A.B. Konovalov, From Farey symbols to generators for subgroups of finite index in integral group rings of finite groups, J. K-Theory, volume 6, 2010, no. 2, 263-283.
  116. A.L. Agore, D. Fratila, Crossed product of Cyclic groups, Czechoslovac Math. J., volume 60, 2010, 889-901. [arXiv]
  117. A.S. Gordienko, Algebras simple with respect to a Taft algebra action. [arXiv]
  118. A.S. Gordienko, Semigroup graded algebras and codimension growth of graded polynomial identities. [arXiv]
  119. M. Lavrauw, G. Marino, O. Polverino, R. Trombetti, F-q-pseudoreguli of PG(3, q(3)) and scattered semifields of order q(6), Finite Fields Appl., volume 17, 225-239.

Other Publications

  1. O. Broche, A. Herman, A. Konovalov, A. Olivieri, G. Olteanu, Á. del Río, I. Van Gelder, Wedderga - Wedderburn Decomposition of Group Algebras, Version 4.5.1+, 2013. http://www.cs.st-andrews.ac.uk/~alexk/wedderga