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Archiv der Mathematik

, Volume 79, Issue 3, pp 161–166 | Cite as

A short note on Howlett-Lehrer Theory

  • B. Ackermann
Article
  • 135 Downloads

Abstract.

This paper gives two results which add to the structure theory of the endomorphism ring of an induced cuspidal module in non-describing characteristic.¶The first is that the presentation of the endomorphism ring in non-describing characteristic is really the same as the one given by Howlett and Lehrer for characteristic 0. This improves a result of Geck, Hiss and Malle.¶Inductions from conjugate Levi subgroups are equivalent as functors. Therefore the endomorphism rings are isomorphic by a natural map. The second result gives a condition, in which cases this map also preserves the presentation of the endomorphism ring from above.

Keywords

Structure Theory Short Note Endomorphism Ring Levi Subgroup Cuspidal Module 

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Copyright information

© Birkhäuser Verlag, Basel 2002

Authors and Affiliations

  • B. Ackermann
    • 1
  1. 1.Mathematisches Institut B, Universität Stuttgart, Pfaffenwaldring 57, D-70550 Stuttgart, GermanyGermany

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