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arXiv · 1210.6907

Dimensions of components of tensor products of the linear groups representations with applications to Beurling-Fourier algebras

Benoît Collins·Hun Hee Lee·Piotr Śniady
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Abstract

We give universal upper bounds on the relative dimensions of isotypic components of a tensor product of the linear group GL(n) representations and universal upper bounds on the relative dimensions of irreducible components of a tensor product of the special linear group SL(n) representations. This problem is motivated by harmonic analysis problems, and we give some applications of this result in the theory of Beurling-Fourier algebras.

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Benoît Collins, Hun Hee Lee, Piotr Śniady. 2012-10-25. Dimensions of components of tensor products of the linear groups representations with applications to Beurling-Fourier algebras. https://doi.org/10.4064/sm220-3-2

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