On the Steinberg character of an orthogonal group over a finite field

DOI10.1142/S0219498814500339zbMath1306.20047arXiv1310.4440OpenAlexW2963652456MaRDI QIDQ2874697

Alexander E. Zalesskij

Publication date: 8 August 2014

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.4440

zbMATH Keywords

irreducible charactersinduced charactersbranching rulesirreducible constituentscharacter restrictionsregular charactersSteinberg representationSteinberg charactermultiplicity free characterscharacters of Chevalley groupsorthogonal groups over finite fields

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Representations of finite groups of Lie type (20C33)

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A sharp upper bound for the size of Lusztig series, Upper bounds for eigenvalue multiplicities of almost cyclic elements in irreducible representations of simple algebraic groups, Uniqueness of certain Fourier-Jacobi models over finite fields

Cites Work

• Singer-Zyklen in klassischen Gruppen
• A note on Harish-Chandra induction
• An approach to the Steinberg character of a finite group of Lie type via the orthogonal geometry of its adjoint module
• On the irreducible components of degenerate Gelfand-Graev characters
• Lectures on Chevalley Groups
• On the restriction of Deligne-Lusztig characters
• The Weil-Steinberg character of finite classical groups
• Tensoring generalized characters with the Steinberg character
• The Weil Character of the Unitary Group Associated to a Finite Local Ring
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