On the nilpotent representations of \(GL_ n({\mathcal O})\)

DOI10.1007/BF02567703zbMath0813.22007MaRDI QIDQ1325183

Gregory Hill

Publication date: 12 June 1994

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155933

zbMATH Keywords

association schemeirreducible representationsHecke algebraring of integers\(p\)-adic fieldprofinite groupfinite \(\mathcal O\)-modulesnilpotent representations

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) 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 (10)

Geometric representations of \(\text{GL}(n,R)\), cellular Hecke algebras and the embedding problem. ⋮ 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 ⋮ Representations of automorphism groups of finite \(\mathfrak o\)-modules of rank two. ⋮ From \(p\)-adic to real Grassmannians via the quantum ⋮ Regular irreducible representations of classical groups over finite quotient rings ⋮ A VARIANT OF HARISH-CHANDRA FUNCTORS ⋮ The Smooth Representations of GL₂(𝔒) ⋮ On Some Geometric Representations ofGL_N(𝔬)

Cites Work

• Harmonics on posets
• Association schemes and t-designs in regular semilattices
• The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129)
• Hahn Polynomials, Discrete Harmonics, andt-Designs
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the nilpotent representations of \(GL_ n({\mathcal O})\)