On Representations of Classical Groups Over Principal Ideal Local Rings of Length Two

DOI10.1080/00927872.2011.601240zbMath1272.20051arXiv1101.3696OpenAlexW1985115796MaRDI QIDQ4909071

Pooja Singla

Publication date: 12 March 2013

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

Full work available at URL: https://arxiv.org/abs/1101.3696

zbMATH Keywords

Clifford theoryreductive groupscomplex irreducible representationsrepresentations of classical groupsprincipal ideal local rings

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Representations of Lie and linear algebraic groups over local fields (22E50) Linear algebraic groups over local fields and their integers (20G25)

Related Items (5)

Regular characters of groups of type \(\mathsf{A}_n\) over discrete valuation rings ⋮ Spectral equivalence of smooth group schemes over principal ideal local rings ⋮ Representations of \(SL_n\) over finite local rings of length two ⋮ Representations of reductive groups over finite local rings of length two ⋮ The \(\ell \)-modular representation of reductive groups over finite local rings of length two

Cites Work

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• On representations of general linear groups over principal ideal local rings of length two.
• Representations of automorphism groups of finite \(\mathfrak o\)-modules of rank two.
• Similarity Classes of 3 × 3 Matrices Over a Local Principal Ideal Ring
• Uniform cell decomposition with applications to Chevalley groups
• Zeta function of representations of compact 𝑝-adic analytic groups

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