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Vrije Universiteit Brussel


Eric Jespers

Professor of Mathematics

Personal Information

My coordinates

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Research

Research interests

  • Ring Theory
  • Group Theory
  • Semigroup Theory

Recent Publications

  • Group rings of finite strongly monomial groups: central units and primitive idempotents (with G. Olteanu, del Rio, Van Gelder), submitted.
  • A description of a class of finite semigroups that are near to being Malcev nilpotent (with M.H. Shahzamanian), submitted
  • Finite semigroups that are minimal for not being Malcev nilpotent (with M.H. Shahzamanian), submitted
  • Braces and the Yang-Baxter equation (with F. Cédo, J. Okniński), submitted
  • Poincaré Bisectors in Hyperbolic Spaces (with S. O. Juriaans, A. Kiefer, A. De A. E Silva A. C. Souza Filho), submitted, 40 pages.
  • Central units of integral group rings (with G. Olteanu, A. del Rio, I. Van Gelder), Proc. Amer. Math. Soc., to appear.
  • Writing units of integral group rings of finite abelian groups as a product of Bass units (with A. del Rio, I. Van Gelder), Mathematics of Computation, to appear, 13 pages.
  • Non-nilpotent graphs of semigroups (with M.H. Shahzamanian), Semigroup Forum (2012).
  • Rational group algebras of finite groups: from idempotents to units of integral group rings (with G. Olteanu, A. del Rio), Algebr. Represent. Theory 15 (2012), no. 2, 359-377.
  • Extensions of Automorphisms of Subgroups (with G.G. Bastos, S.O. Juriaans, De A. E Silva), Glasgow J. Math. 54 (2012), no. 2, 371-380.
  • Finitely Presented Monoids and Algebras defined by Permutation Relations of Abelian Type (with F. Cédo, G. Klein), Journal of Pure and Applied Algebra 216 (2012) 1033-1039.
  • Construction of Central Units in Integral Group Rings of Finite Groups (with M. Parmenter), Proc. Amer. Math. Soc. 140 (2012), no. 1, 99-107.
  • Torsion units in integral rings of Janko simple groups (with V.A. Bovdi, A.B. Konovalov), Mathematics of Computation 80 (2011), no. 273, 593-615.
  • Algebras and groups defined by permutation relations of alternating type (with F. Cédo, J. Okniński), J. Algebra 324 (2010), no. 6, 1290-1313.
  • Hyperbolicity of semigroup algebras II (with E. Iwaki, S.O. Juriaans and A.C. Souza Filho), Journal of Algebra and Applications Vol 9 (6) (2010), 871-876.
  • Retractability of set theoretic solutions of the Yang-Baxter equation (with F. Cédo, J. Okniński), Advances in Mathematics 224 (2010), 2472-2484.
  • Finitely presented algebras and groups defined by permutation relations (with F. Cédo, J. Okniński), J. Pure and Applied Algebra Vol. 214 (Issue 7) (2010), 1095-1102.
  • From Farey symbols to generators for subgroups of finite index in integral group rings of finite groups (with A. Dooms, A.B. Konovalov), J. K-Theory 6 (2010), no. 2, 263-283.
  • Involutive Yang-Baxter Groups (with F. Cédo, A. del Río ), Trans. Amer. Math. Soc. 362 (2010), 2541-2558.

Publication List

Books

  • E. G. Goodaire, E. Jespers and C. Polcino Milies, Alternative loop rings, North-Holland Mathematics Studies Vol.184, Amsterdam, (1996).
  • E. Jespers and J. Okninski, Noetherian semigroup algebras, Series: Algebra and Applications, Vol. 7, 2007, Approx. 365 p., Hardcover ISBN-10: 1-4020-5809-8 ISBN-13: 978-1-4020-5809-7

Previous Conferences

Conferences and seminars

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Teaching

Teaching tasks

First Semester 2013-14

  • Lineaire algebra (WE), HOC, vrijdag, 11-13 uur, D.0.02, weken 4-6, 8-14
  • Ring- en moduultheorie (Ba 2)
    • Theorie: dinsdag, 13-15u, G.6.322 (weken 2-8, 10-14)
    • Oefeningen (Florian Eisele): vrijdag, 13-15u, G.6.324 (weken 2-14)
    • Evaluatie: 50% theorie, 30% oefeningen, 20% project en huiswerk
  • Galoistheorie (Ba 3)
    • Theorie (Andreas Bächle): donderdag, 14-16u, G.6.324 (weken 2-9, 11-14)
    • Oefeningen (Andreas Bächle): dinsdag, 13-14u, G.6.324 (weken 2-8, 10-14)
    • Evaluatie: 70% theorie, 30% oefeningen
  • Associatieve Algebra (MA), donderdag 15-17 uur, F.4.103 (weken 2-9, 11-14)

 

Second Semester 2013-2014

  • Representatietheorie van algebra's (Ma)
  • Inleiding groepentheorie (Ba 1)
    • Theorie:
    • Oefeningen (Geoffrey Janssens):

Syllabi

  • pdf Slides Lineaire Algebra
  • pdf Syllabus Ring- en moduultheorie
  • pdf Syllabus Galoistheorie
  • pdf Syllabus Associatieve Algebra
  • pdf Syllabus Functionaal Analyse I
  • pdf Syllabus Non-commutative algebra
  • pdf Syllabus Inleiding groepentheorie
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Projecten

Projecten Algebra II
  • ps Info computer en latex
  • pdf Latex Info
  • pdf Short Introduction to Latex
  • pdf Projecten 1
  • pdf Projecten 2
  • tex Nuttige latex file 1
  • tex Nuttige latex file 2
  • ps Nuttige ps-file
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Projecten Ba 3

Een lijst met topics vind je hier

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Links

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