A Bernstein-type formula for projective representations of \(S_ n\) and \(A_ n\)
type: Item
instance of: scholarly article
title: A Bernstein-type formula for projective representations of \(S_ n\) and \(A_ n\)
zbMATH Open document ID: 0671.20015
DOI: 10.1016/0001-8708(89)90006-6
published in: Advances in Mathematics
publication date: 1989-01-01T00:00:00Z
review text: The author gives a formula for the irreducible projective representations of \(S_ n\) (and \(A_ n)\) as linear combinations - in the representation ring - of certain representations induced from Clifford modules; it was motivated by a formula for the ordinary irreducible representations of \(S_ n\) due to Bernstein [see \textit{A. V. Zelevinsky}: Representations of finite classical groups (Lect. Notes Math. 869, 1981; Zbl 0465.20009), p. 69].
Mathematics Subject Classification ID: 20C25
Mathematics Subject Classification ID: 20C30
zbMATH DE Number: 4097625
zbMATH Keywords: irreducible projective representations
zbMATH Keywords: representation ring
zbMATH Keywords: Clifford modules
author: Peter N. Hoffman
reviewed by: Hans Opolka
MaRDI profile type: Publication
full work available at URL: 0001-8708(89)90006-6
OpenAlex ID: W2011598264
cites work: Zelevinski Algebras Related to Projective Representations
cites work: Hopf Algebras and Projective Representations of G ≀ Sn AND G ≀ An
cites work: Primitives in the Hopf algebra of projective \(S_ n\)-representations
cites work: Shifted tableaux, Schur q-functions, and a conjecture of R. Stanley
cites work: Shifted tableaux and the projective representations of symmetric groups
cites work: Representations of finite classical groups. A Hopf algebra approach
description: scientific article; zbMATH DE number 4097625