Some new generating functions for weight multiplicities
type: Item
instance of: scholarly article
title: Some new generating functions for weight multiplicities
zbMATH Open document ID: 0839.17003
DOI: 10.1016/0019-3577(95)91239-R
published in: Indagationes Mathematicae. New Series
publication date: 1995-10-09T00:00:00Z
review text: For each complex semisimple Lie algebra, the author introduces a generating function of formal characters of simple modules. Then using Weyl's character formula and the computation of residues he obtains a formula for weight multiplicities. Explicit computations are carried out for Lie algebras of type \(A_2\), \(B_2\), and \(G_2\). Some of these computations are done by means of a computer software package. It seems very likely to extend the computations to algebras of higher rank.
reviewed by: Stefano Capparelli
Mathematics Subject Classification ID: 17B10
Mathematics Subject Classification ID: 17B20
Mathematics Subject Classification ID: 17-04
zbMATH DE Number: 792821
zbMATH Keywords: explicit computations
zbMATH Keywords: complex semisimple Lie algebra
zbMATH Keywords: generating function
zbMATH Keywords: formal characters
zbMATH Keywords: simple modules
zbMATH Keywords: weight multiplicities
zbMATH Keywords: software package
author: Dragomir Ž. Đoković
MaRDI profile type: Publication
cites work: Q4095018
cites work: Q3222341
cites work: Q5753521
cites work: Characters of the Weyl group of SU(n) on zero weight spaces and centralizers of permutation representations
cites work: Q5832090
cites work: Fast recursion formula for weight multiplicities
full work available at URL: 0019-3577(95)91239-r
OpenAlex ID: W2021885103
description: scientific article; zbMATH DE number 792821