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

DOI10.4064/SM220-3-2zbMath1295.05263arXiv1210.6907OpenAlexW3106181353MaRDI QIDQ5400451

Piotr Śniady, Benoit Collins, Hun Hee Lee

Publication date: 3 March 2014

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.6907

zbMATH Keywords

harmonic analysisBeurling-Fourier algebradimension of isotypic componenttensor products of irreducible representations of groups

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Abstract operator algebras on Hilbert spaces (47L30) Semisimple Lie groups and their representations (22E46) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Orthogonal and unitary groups in metric geometry (51F25)

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Some Beurling–Fourier algebras on compact groups are operator algebras ⋮ \(p\)-Fourier algebras on compact groups

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