Dimensions of components of tensor products of representations of linear groups with applications to Beurling-Fourier algebras
Benoît Collins ; Hun Hee Lee ; Piotr Śniady
Studia Mathematica, Tome 223 (2014), p. 221-241 / Harvested from The Polish Digital Mathematics Library
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We give universal upper bounds on the relative dimensions of isotypic components of a tensor product of representations of the linear group GL(n) and universal upper bounds on the relative dimensions of irreducible components of a tensor product of representations of the special linear group SL(n). This problem is motivated by harmonic analysis problems, and we give some applications to the theory of Beurling-Fourier algebras.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:285851 
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Benoît Collins; Hun Hee Lee; Piotr Śniady. Dimensions of components of tensor products of representations of linear groups with applications to Beurling-Fourier algebras. Studia Mathematica, Tome 223 (2014) pp. 221-241. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm220-3-2/