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

Multiplicity free tensor products of irreducible representations of the exceptional Lie groups
Multiplicity free tensor products of irreducible representations of the exceptional Lie groups
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.
0305-4470
3489-3513
King, R.C.
76ae9fb3-6b19-449d-8583-dbf1d7ed2706
Wybourne, B.G.
527c5e72-79db-40a6-901c-284a3bd788dc
King, R.C.
76ae9fb3-6b19-449d-8583-dbf1d7ed2706
Wybourne, B.G.
527c5e72-79db-40a6-901c-284a3bd788dc

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. (doi:10.1088/0305-4470/35/15/310).

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.

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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

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Date deposited: 15 May 2006
Last modified: 07 Jan 2022 22:23

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Contributors

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

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