Semisimple and cuspidal characters of gln(0)

DOI10.1080/00927879508825204zbMath0843.22022OpenAlexW2005382769MaRDI QIDQ4324232

Gregory Hill

Publication date: 26 February 1995

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

Full work available at URL: https://doi.org/10.1080/00927879508825204

zbMATH Keywords

representation theorygeneral linear groupadjoint actionsirreducible characternilpotentsemisimplesemisimple charactersClifford's theoremcuspidal characters

Mathematics Subject Classification ID

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

Related Items (12)

The stable representations of GL_N over finite local principal ideal rings ⋮ Regular characters of groups of type \(\mathsf{A}_n\) over discrete valuation rings ⋮ On representations of general linear groups over principal ideal local rings of length two. ⋮ Regular characters of \(GL_{n}(O)\) and Weil representations over finite fields ⋮ Representations of 𝐺𝐿_{𝑁} over finite local principal ideal rings: An overview ⋮ Unramified representations of reductive groups over finite rings ⋮ Representations of automorphism groups of finite \(\mathfrak o\)-modules of rank two. ⋮ On cuspidal representations of general linear groups over discrete valuation rings ⋮ Regular irreducible representations of classical groups over finite quotient rings ⋮ A VARIANT OF HARISH-CHANDRA FUNCTORS ⋮ Representation growth of compact special linear groups of degree two ⋮ The Smooth Representations of GL₂(𝔒)

Cites Work

• Representations of finite classical groups. A Hopf algebra approach
• The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129)
• A jordan decomposition of representations forGL_n(O)

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