Quadratic representations for groups of Lie type over fields of characteristic two

Authors

Timothy Englund, Central Washington University

Document Type

Article

Department or Administrative Unit

Mathematics

Publication Date

10-1-2003

Abstract

Suppose K is a field of characteristic two, G is a group of Lie type over K, and V is an irreducible KG-module. By the Steinberg Tensor Product Theorem, V≅⊗_i∈IV_i, where each V_i is an algebraic conjugate of a restricted KG-module. If G contains a quadratically acting fours-group, then |I|⩽2. If |I|=2 or if |I|=1 and some restrictions are imposed on the fours-group, then a list of the possible restricted modules is able to be determined. In all cases, the restricted modules are fundamental modules and in many cases the majority of these are ruled out.

Comments

This article was originally published in Journal of Algebra. The full-text article from the publisher can be found here.

Due to copyright restrictions, this article is not available for free download from ScholarWorks @ CWU.

Recommended Citation

Englund, T. (2003). Quadratic representations for groups of Lie type over fields of characteristic two. Journal of Algebra, 268(1), 118–155. https://doi.org/10.1016/s0021-8693(03)00296-5

Journal

Journal of Algebra

Copyright

Copyright © 2003 Elsevier Inc. All rights reserved.