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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A note on certain Kronecker coefficients


Author: L. Manivel
Journal: Proc. Amer. Math. Soc. 138 (2010), 1-7
MSC (2000): Primary 20C30, 15A72, 11S90
Published electronically: September 4, 2009
MathSciNet review: 2550164
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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 [Enhancements On Off] (What's this?)

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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: http://dx.doi.org/10.1090/S0002-9939-09-10086-2
PII: S 0002-9939(09)10086-2
Received by editor(s): October 8, 2008
Published electronically: September 4, 2009
Communicated by: Jonathan I. Hall
Article copyright: © Copyright 2009 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.