Regular irreducible representations of classical groups over finite quotient rings

DOI10.2140/pjm.2021.311.221OpenAlexW3138796736MaRDI QIDQ2057578

Koichi Takase

Publication date: 7 December 2021

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.02542

zbMATH Keywords

reductive groupWeil representationfinite ring

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Representations of finite groups of Lie type (20C33)

Cites Work

• Unnamed Item
• Regular characters of \(GL_{n}(O)\) and Weil representations over finite fields
• Representations of reductive groups over finite fields
• Weil representations associated to finite fields
• On the nilpotent representations of \(GL_ n({\mathcal O})\)
• Regular characters of groups of type \(\mathsf{A}_n\) over discrete valuation rings
• Regular elements and regular characters of \(GL_ n({\mathcal O})\)
• Regular characters of classical groups over complete discrete valuation rings
• Some arithmetical results on semi-simple Lie algebras
• Seminar on algebraic groups and related finite groups. Held at the Institute for Advanced Study, Princeton/N.J., 1968/69
• On certain square-integrable irreducible unitary representations of some p-adic linear groups
• Schémas en groupes. I: Propriétés générales des schémas en groupes. Exposés I à VIIb. Séminaire de Géométrie Algébrique 1962/64, dirigé par Michel Demazure et Alexander Grothendieck. Revised reprint
• A jordan decomposition of representations forGL_n(O)
• The Characters of the Finite General Linear Groups
• Semisimple and cuspidal characters of gl_n(0)

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