Advertisement

Archiv der Mathematik

, Volume 82, Issue 5, pp 385–390 | Cite as

Type A Hecke algebras and related algebras

  • K.  ErdmannEmail author
Original paper
  • 53 Downloads

Abstract.

Let \( {\cal H}_{q}(r) \) be the Hecke algebra of the symmetric group \( {\cal S}_r \) over a field K of characteristic \( p \geq 0 \) and \( q \in K \) a primitive \( \ell \) -th root of one in K. We show that an \( {\cal H}_{q}(r) \) -module is projective if and only if its restrictions to any \( \ell - p \) -parabolic subalgebra of \( {\cal H}_{q}(r) \) is projective. Moreover, we give a new construction of blocks of \( \ell \) -parabolic subalgebras, in terms of skew group algebras over local commutative algebras.

Mathematics Subject Classification (2000):

16G10 16S80 16G20. 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Birkhäuser-Verlag 2004

Authors and Affiliations

  1. 1.Mathematical InstituteOxfordEngland

Personalised recommendations