Lie algebra deformations and character formulas
type: Item
instance of: scholarly article
title: Lie algebra deformations and character formulas
zbMATH Open document ID: 0938.17005
DOI: 10.1007/BF02465764
publication date: 2000-05-02T00:00:00Z
review text: The author proves a series of combinatorial identities by comparing some character formulas. He considers the deformation of the subalgebra \(\mathfrak s\mathfrak p(2n)\subset \mathfrak s\mathfrak l(2n+1)\) into the subalgebra of upper triangular matrices \(\mathfrak n\subset \mathfrak s\mathfrak l(2n+1)\) and proves that the character of the respective subspace in the vacuum irreducible representation \(V_0\) of \(\widehat{\mathfrak s\mathfrak l} (2n+1)\) does not change under the deformation.
Mathematics Subject Classification ID: 17B10
Mathematics Subject Classification ID: 17B67
Mathematics Subject Classification ID: 05A19
zbMATH DE Number: 1205913
zbMATH Keywords: representation theory
zbMATH Keywords: characters
zbMATH Keywords: Kac-Moody algebras
zbMATH Keywords: combinatorial identities
Wikidata QID: Q115392133
author: A. V. Stoyanovskii
reviewed by: Victor Petrogradsky
MaRDI profile type: Publication
cites work: Q4040877
published in: Functional Analysis and Its Applications
description: scientific article; zbMATH DE number 1205913