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Article Dans Une Revue Proceedings of the American Mathematical Society Année : 2010

A note on certain Kronecker coefficients

Laurent Manivel

Résumé

We prove an explicit formula for the tensor product with itself 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.
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Dates et versions

hal-00323509 , version 1 (22-09-2008)

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Laurent Manivel. A note on certain Kronecker coefficients. Proceedings of the American Mathematical Society, 2010, 138 (1), pp.1-7. ⟨hal-00323509⟩

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