학술논문

Hecke Algebras of Type Bnat Roots of Unity
Document Type
Article
Source
Proceedings of the London Mathematical Society; November 1971, Vol. 3 Issue: 3 p505-528, 24p
Subject
Language
ISSN
00246115; 1460244X
Abstract
The simple modules for Hecke algebras of type Bnwere constructed, under certain restrictions on the characteristic of the field, in [7]. Using new ideas, introduced by the third‐named author for Hecke algebras of type An[13], we now remove these restrictions on the characteristic. We present a collection of modules, of which the non‐zero ones form a complete set of pairwise non‐isomorphic simple modules. In addition, we formulate a conjecture as to which of the modules are non‐zero.