Quadratic representations for groups of Lie type over fields of characteristic two
Department or Administrative Unit
Mathematics
Document Type
Article
Author Copyright
Copyright © 2003 Elsevier Inc. All rights reserved.
Publication Date
10-1-2003
Journal
Journal of Algebra
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∈IVi, where each Vi 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.
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
Comments
This article was originally published in Journal of Algebra. The full-text article from the publisher can be found here.
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