Plethysm and vertex operators
type: Item
instance of: scholarly article
title: Plethysm and vertex operators
zbMATH Open document ID: 0782.05089
DOI: 10.1016/0196-8858(92)90018-R
author: Christophe Carré
author: Jean-Yves Thibon
published in: Advances in Applied Mathematics
publication date: 1993-10-06T00:00:00Z
review text: The authors have explored an interesting application of one of the vertex operators from the representations of Kac-Moody algebras to the theory of symmetric functions. A number of recurrence formulae for plethysm coefficients has been obtained in the paper. Some of them are generalizations of well-known ones, others are supplied with new proofs.
Mathematics Subject Classification ID: 05E15
Mathematics Subject Classification ID: 05E05
Mathematics Subject Classification ID: 17B67
Mathematics Subject Classification ID: 20C99
zbMATH DE Number: 203282
zbMATH Keywords: vertex operators
zbMATH Keywords: representations of Kac-Moody algebras
zbMATH Keywords: symmetric functions
zbMATH Keywords: plethysm
reviewed by: Plamen Koshlukov
MaRDI profile type: Publication
cites work: Branching rules for U(N)⊃U(M) and the evaluation of outer plethysms
cites work: Plethysm of S -Functions
cites work: Solitons and infinite dimensional Lie algebras
cites work: Q3693664
cites work: S-function series
cites work: Q3329581
cites work: Q3709222
cites work: Group Characters and the Structure of Groups
cites work: Q3947818
cites work: On the Analysis of Representations of the Linear Group
cites work: A Generalization of Hermite's Law of Reciprocity
cites work: Q5805991
cites work: Q5807689
cites work: ON THE ANALYSES OF { m } [unk] { 1 k } AND { m } [unk] { k }
cites work: HOPF ALGEBRAS OF SYMMETRIC FUNCTIONS AND TENSOR PRODUCTS OF SYMMETRIC GROUP REPRESENTATIONS
cites work: Some observations of plethysms
Recommended article: Plethystic vertex operators and boson-fermion correspondences
Recommended article: Q3816223
Recommended article: Extended plethystic vertex operators and plethystic universal characters
Recommended article: Vertex operators and character varieties
Recommended article: Vertex operators in Hilbert space
Recommended article: VERTEX OPERATOR ALGEBRAS AND CONFORMAL FIELD THEORY
Recommended article: Q4888127
Recommended article: Q3988259
Recommended article: Q3804868
Recommended article: VERTEX OPERATOR ALGEBRAS AND THE VERLINDE CONJECTURE
description: scientific article; zbMATH DE number 203282