Search

Summary

We present the ordinary Harish-Chandra theory for finite groups with a BN-pair in arbitrary non-defining characteristic and the relation to Hecke algebras. We then introduceLusztig induction for finite reductive groups, explain its basic properties, use it to define and investigate the duality operation on the character ring and the Steinberg character. In the final section we explain the d-Harish-Chandra theories for finite reductive groups which play a fundamenhtal role in modular representation theory of finite reductive groups.

The statement (and the proof) of Theorem 4.1.1 of the paper ‘Mackey formula in type A’ [Proc. London. Math. Soc. (3) 80 (2000) 545–574] is false. In this corrigendum we provide a correct statement (and a correct proof). As a consequence, we see that Corollary 4.1.2 of the paper holds. So all the other statements in the paper are correct (up to minor misprints…).

2000 Mathematical Subject Classification: 20G05, 20G40.

Search Results

Refine search

Refine search

Actions for selected content:

2 results

3 - Harish-Chandra Theories

Summary

MACKEY FORMULA IN TYPE A (Proc. London Math. Soc. (3) 80 (2000) 545–574)

Search Results

Refine search

Refine search

Actions for selected content:

Save Search

2 results

3 - Harish-Chandra Theories

Summary

MACKEY FORMULA IN TYPE A (Proc. London Math. Soc. (3) 80 (2000) 545–574)