The University of Southampton
University of Southampton Institutional Repository

# Multiplicity free tensor products of irreducible representations of the exceptional Lie groups

King, R.C. and Wybourne, B.G. (2002) Multiplicity free tensor products of irreducible representations of the exceptional Lie groups. Journal of Physics A: Mathematical and General, 35, 3489-3513.

Record type: Article

## Abstract

For each of the exceptional Lie groups, a complete determination is given of those pairs of finite-dimensional irreducible representations whose tensor products (or squares) may be resolved into irreducible representations that are multiplicity free, i.e. such that no irreducible representation occurs in the decomposition of the tensor product more than once.
Explicit formulae are presented for the decomposition of all those tensor products that are multiplicity free, many of which exhibit a stability property.

Published date: 2002
Organisations: Applied Mathematics

## Identifiers

Local EPrints ID: 29530
URI: http://eprints.soton.ac.uk/id/eprint/29530
ISSN: 0305-4470
PURE UUID: 968bfc03-dc2b-4f45-b207-906d6a55abf2

## Catalogue record

Date deposited: 15 May 2006

## Contributors

Author: R.C. King
Author: B.G. Wybourne