The Pragacz identity and a new algorithm for Littlewood-Richardson coefficients
type: Item
instance of: scholarly article
title: The Pragacz identity and a new algorithm for Littlewood-Richardson coefficients
zbMATH Open document ID: 0736.05073
DOI: 10.1016/0898-1221(91)90079-J
author: J Van der Jeugt
author: V. Fack
publication date: 1992-06-25T00:00:00Z
review text: The Littlewood-Richardson rule (see \textit{D. E. Littlewood} and \textit{A. R. Richardson} [Philos. Trans. R. Soc. Lond., Ser. A 233, 99-141 (1934; Zbl 0009.20203)]) gives a method for computing the coefficients in the expansion of the product of two Schur functions (\(S\)-functions) as a sum of Schur functions. Recently \textit{P. Pragacz} [Topics in invariant theory, Proc. Séminaire d'Algèbre Paul Dubreil et Marie-Paule Malliavin, Lect. Notes Math. 1478, 130-191 (1991; Zbl 0783.14031)] proved an identity relating the combinatorial definition of a supersymmetric \(S\)-function to a Weyl type formula. In the present paper the authors show how this identity gives rise to a new algorithm for Littlewood-Richardson coefficients that is easy to implement.
reviewed by: E. J. F. Primrose
Mathematics Subject Classification ID: 05E05
zbMATH DE Number: 8976
zbMATH Keywords: Schur functions
MaRDI profile type: Publication
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published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 8976