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Multiplicity-free products and restrictions of Weyl characters
Author(s):
John
R.
Stembridge
Journal:
Represent. Theory
7
(2003),
404-439.
MSC (2000):
Primary 17B10, 05E15;
Secondary 20G05, 22E46
Posted:
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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Additional Information:
John
R.
Stembridge
Affiliation:
Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109--1109
Email:
jrs@umich.edu
DOI:
10.1090/S1088-4165-03-00150-X
PII:
S 1088-4165(03)00150-X
Received by editor(s):
December 12, 2001
Received by editor(s) in revised form:
September 22, 2003
Posted:
October 7, 2003
Additional Notes:
This work was supported by NSF Grant DMS--0070685
Copyright of article:
Copyright
2003,
American Mathematical Society
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