The Brauer trees of non-crystallographic groups of Lie type

JOURNAL OF ALGEBRA

卷:398

Article

Craven, David A.

关键词: Brauer tree;    Broue conjecture;    Cyclotomic Hecke algebras;    Reflection groups;   

DOI  :  10.1016/j.jalgebra.2013.06.002

来源: Elsevier

【 摘 要 】

In this article we determine the Brauer trees of the unipotent blocks with cyclic defect group in the 'groups' I-2(n, q), H-3(q) and H-4(q). The degrees of the unipotent characters of these objects were given by Lusztig, and using the general theory of perverse equivalences we can reconstruct the Brauer trees that would be consistent with Deligne-Lusztig theory and the geometric version of Broue's conjecture. We construct the trees using standard arguments whenever possible, and check that the Brauer trees predicted by Broue's conjecture are consistent with both the mathematics and philosophy of blocks with cyclic defect groups. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free