Regular characters of \(GL_{n}(O)\) and Weil representations over finite fields

DOI10.1016/j.jalgebra.2015.10.021zbMath1331.22015arXiv1510.04377OpenAlexW2964093386MaRDI QIDQ907338

Koichi Takase

Publication date: 25 January 2016

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

Full work available at URL: https://arxiv.org/abs/1510.04377

zbMATH Keywords

representation theoryfinite linear group

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items (4)

Regular characters of groups of type \(\mathsf{A}_n\) over discrete valuation rings ⋮ Representations of 𝐺𝐿_{𝑁} over finite local principal ideal rings: An overview ⋮ Regular characters of classical groups over complete discrete valuation rings ⋮ Regular irreducible representations of classical groups over finite quotient rings

Cites Work

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• The Weil representation, Maslov index and theta series
• On some explicit formulas in the theory of Weil representation
• On the nilpotent representations of \(GL_ n({\mathcal O})\)
• Gauss sums and p-adic division algebras
• Regular elements and regular characters of \(GL_ n({\mathcal O})\)
• On certain square-integrable irreducible unitary representations of some p-adic linear groups
• Sur certains groupes d'opérateurs unitaires
• A jordan decomposition of representations forGL_n(O)
• The Characters of the Finite General Linear Groups
• The Smooth Representations of GL₂(𝔒)
• Semisimple and cuspidal characters of gl_n(0)

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