Methods to decide if simple self-dual modules over fields of characteristic \(2\) are of quadratic type

DOI10.1006/jabr.1995.1227zbMath0839.20008OpenAlexW2059096038MaRDI QIDQ1897809

Wolfgang Willems, Roderick Gow

Publication date: 8 April 1996

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1995.1227

zbMATH Keywords

finite groupsquadratic formsintegral representationsquadratic typeperfect fieldssimple self-dual modulesadjoint representations of Chevalley groupsself-dual \(KG\)-modules

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Integral representations of finite groups (20C10) Representations of finite groups of Lie type (20C33)

Related Items

Self-dual modules in characteristic two and normal subgroups, The quadratic type of certain irreducible modules for the symmetric group in characteristic two., On the quadratic type of some simple self-dual modules over fields of characteristic two, Equivariant quadratic forms in characteristic 2, Low-Dimensional Representations of Quasi-Simple Groups, Subgroups of simple algebraic groups containing regular tori, and irreducible representations with multiplicity 1 non-zero weights, Unipotent elements forcing irreducibility in linear algebraic groups, Invariant forms on irreducible modules of simple algebraic groups, Double coset density in classical algebraic groups