On the endomorphism algebra of modular Gelfand-Graev representations

Article, Preprint English OPEN
Bonnafé, C. ; Kessar, R. (2008)
  • Publisher: Elsevier
  • Journal: Journal of Algebra, volume 320, issue 7, pages 2,847-2,870 (issn: 0021-8693)
  • Related identifiers: doi: 10.1016/j.jalgebra.2008.05.029
  • Subject: 20G40 (Secondary) | 20C20 (Primary) | Algebra and Number Theory | Primary 20C20; Secondary 20G40 | QA | Gelfand-Graev representations | modular representations | unipotent blocks | [ MATH.MATH-RT ] Mathematics [math]/Representation Theory [math.RT] | finite reductive groups | Mathematics - Representation Theory
    arxiv: Mathematics::Geometric Topology | Mathematics::Representation Theory | Computer Science::Symbolic Computation | Mathematics::Numerical Analysis | Mathematics::Group Theory

25 pages; We study the endomorphism algebras of a modular Gelfand-Graev representation of a finite reductive group by investigating modular properties of homomorphisms constructed by Curtis and Curtis-Shoji.
  • References (7)

    T. Asai, Twisting operators on the space of class functions of finite special linear groups, in The Arcata Conference on Representations of Finite Groups (Arcata, Calif., 1986), Proc. Sympos. Pure Math., vol. 47, Amer. Math. Soc., Providence, RI, 1987, 99-148.

    C. Bonnaf´e, Regular unipotent elements, C.R. Acad. Sc. 328 (1999), 275-280.

    C. Bonnaf´e, Actions of relative Weyl group II, J. Group Theory 8 (2005), 351-387.

    Math. I.H.E.S. 97 (2003), 1-59.

    Math. 183 (2006), 1-34.

    [BMM] M. Brou´e, G. Malle & J. Michel, Generic blocks of finite reductive groups. Repr´esentations unipotentes g´en´eriques et blocs des groupes r´eductifs finis, Ast´erisque 212 (1993), 7-92.

    T. Yokonuma, Sur le commutant d'une repr´esentation d'un groupe de Chevalley fini, J. Fac. Sci. Univ. Tokyo 15 (1968), 115-129. 1 Labo. de Math. de Besanc¸on (CNRS: UMR 6623), Universit´e de Franche-Comt´e, 16 Route de Gray, 25030 Besanc¸on Cedex, France E-mail address: cedric.bonnafe@univ-fcomte.fr 2 Mathematical Sciences, University of Aberdeen, Meston Building, Aberdeen AB24 3UE, Scotland, UK E-mail address: kessar@maths.abdn.ac.uk

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