A jordan decomposition of representations forGLn(O)

DOI10.1080/00927879308824747zbMath0788.20026OpenAlexW2171086100MaRDI QIDQ3136853

Gregory Hill

Publication date: 6 October 1993

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

Full work available at URL: https://doi.org/10.1080/00927879308824747

zbMATH Keywords

Hecke algebrascharactersJordan decompositionring of integers\(p\)-adic fieldprofinite groupadjoint orbitfinite dimensional complex representations

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Representations of finite groups of Lie type (20C33) Linear algebraic groups over local fields and their integers (20G25)

Related Items (13)

On representations of general linear groups over principal ideal local rings of length two. ⋮ Extended Deligne-Lusztig varieties for general and special linear groups. ⋮ An inductive approach to representations of general linear groups over compact discrete valuation rings ⋮ Semisimple and cuspidal characters of gl_n(0) ⋮ Regular characters of \(GL_{n}(O)\) and Weil representations over finite fields ⋮ Representations of 𝐺𝐿_{𝑁} over finite local principal ideal rings: An overview ⋮ Representations of automorphism groups of finite \(\mathfrak o\)-modules of rank two. ⋮ Principal series for general linear groups over finite commutative rings ⋮ Regular irreducible representations of classical groups over finite quotient rings ⋮ Flags and orbits of connected reductive groups over local rings ⋮ A VARIANT OF HARISH-CHANDRA FUNCTORS ⋮ The Smooth Representations of GL₂(𝔒) ⋮ A Note on Bruhat Decomposition ofGL(n) over Local Principal Ideal Rings

Cites Work

• Unnamed Item
• Hecke algebra isomorphisms for GL(n) over a p-adic field
• On a theorem of Benson and Curtis
• Twisted group algebras and their representations
• Note on the Reduction of Induced Representations

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