A GEL'FAND MODEL FOR THE SYMMETRIC GROUP

DOI10.1081/AGB-100002136zbMath1015.20009MaRDI QIDQ2752406

José O. Araujo, José Luis Aguado

Publication date: 23 April 2003

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

zbMATH Keywords

Weyl algebrassymmetric groupsdifferential operatorsirreducible representationsGel'fand models

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Representations of finite symmetric groups (20C30) Ordinary and skew polynomial rings and semigroup rings (16S36)

Related Items (12)

A Gelfand model for wreath products. ⋮ Generalized involution models for wreath products. ⋮ Schwinger representation for the symmetric group:Two explicit constructions for the carrier space ⋮ A Gelfand model for Weyl groups of type \(D_{2n}\). ⋮ Combinatorial Gelfand models. ⋮ On Gelfand models for finite Coxeter groups ⋮ Gelfand models for classical Weyl groups. ⋮ Modular Irreducible Representations of Weyl Groups of TypeB_n ⋮ Involutory reflection groups and their models ⋮ A Gel'fand Model for the Symmetric Generalized Group ⋮ Irreducible modular representations of the reflection group \(G(m, 1, n)\) ⋮ A Gel'fand model for a Weyl group of type \(D_n\) and the branching rules \(D_n\hookrightarrow B_n\).

Cites Work

• \(\lambda\)-rings and the representation theory of the symmetric group
• The representation theory of the symmetric groups
• MODELS FOR THE COMPLEX REPRESENTATIONS OF THE GROUPS $ \mathrm{GL}(n,\,q)$
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