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arXiv:1210.6907 [math.RT]AbstractReferencesReviewsResources

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

Benoît Collins, Hun Hee Lee, Piotr Śniady

Published 2012-10-25Version 1

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.

Comments: 22 pages
Journal: Studia Math. 220 (2014), 221-241doi
Categories: math.RT, math.CO, math.OA
Subjects: 05E10, 22E46, 43A30, 47L30, 51F25
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