An approach to the Steinberg character of a finite group of Lie type via the orthogonal geometry of its adjoint module

DOI10.1006/JABR.1994.1121zbMath0802.20014OpenAlexW2003895156WikidataQ115396248 ScholiaQ115396248MaRDI QIDQ1327047

Roderick Gow

Publication date: 12 December 1994

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

Full work available at URL: https://doi.org/10.1006/jabr.1994.1121

zbMATH Keywords

generalized charactersChevalley groupsunipotent elementsKilling formpermutation actionsemisimple elementSteinberg characteradjoint Chevalley groupsimple complex Lie-algebra

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Representations of finite groups of Lie type (20C33) Lie algebras of linear algebraic groups (17B45)

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