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

Author: John R. Stembridge
Journal: Represent. Theory 7 (2003), 404-439
MSC (2000): Primary 17B10, 05E15; Secondary 20G05, 22E46
DOI: https://doi.org/10.1090/S1088-4165-03-00150-X
Published electronically: October 7, 2003
MathSciNet review: 2017064
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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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