Multiplicity-free products and restrictions of Weyl characters

Stembridge, John

doi:10.1090/S1088-4165-03-00150-X

Multiplicity-free products and restrictions of Weyl characters
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by John R. Stembridge

Represent. Theory 7 (2003), 404-439

DOI: https://doi.org/10.1090/S1088-4165-03-00150-X

Published electronically: October 7, 2003

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Abstract:

We classify all multiplicity-free products of Weyl characters, or equivalently, all multiplicity-free tensor products of irreducible representations of complex semisimple Lie algebras. As a corollary, we also obtain the classification of all multiplicity-free restrictions of irreducible representations to reductive subalgebras of parabolic type.

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