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A note on certain Kronecker coefficients
Author(s):
L.
Manivel
Journal:
Proc. Amer. Math. Soc.
138
(2010),
1-7.
MSC (2000):
Primary 20C30, 15A72, 11S90
Posted:
September 4, 2009
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Abstract:
We prove an explicit formula for the tensor square of an irreducible complex representation of the symmetric group defined by a rectangle of height two. We also describe part of the decomposition for the tensor product of representations defined by rectangles of heights two and four. Our results are deduced, through Schur-Weyl duality, from the observation that certain actions on triple tensor products of vector spaces are multiplicity free.
References:
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Additional Information:
L.
Manivel
Affiliation:
Institut Fourier, University of Grenoble I, 100 rue des Mathematiques, 38402 St. Martin d'Heres, France
DOI:
10.1090/S0002-9939-09-10086-2
PII:
S 0002-9939(09)10086-2
Received by editor(s):
October 8, 2008
Posted:
September 4, 2009
Communicated by:
Jonathan I. Hall
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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