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

Benoît Collins, Hun Hee Lee, and Piotr Śniady. "Dimensions of components of tensor products of representations of linear groups with applications to Beurling-Fourier algebras." Studia Mathematica 220.3 (2014): 221-241. <http://eudml.org/doc/285851>.

@article{BenoîtCollins2014,
abstract = {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.},
author = {Benoît Collins, Hun Hee Lee, Piotr Śniady},
journal = {Studia Mathematica},
keywords = {tensor products of irreducible representations of groups; dimension of isotypic component; harmonic analysis; Beurling-Fourier algebra},
language = {eng},
number = {3},
pages = {221-241},
title = {Dimensions of components of tensor products of representations of linear groups with applications to Beurling-Fourier algebras},
url = {http://eudml.org/doc/285851},
volume = {220},
year = {2014},
}

TY - JOUR
AU - Benoît Collins
AU - Hun Hee Lee
AU - Piotr Śniady
TI - Dimensions of components of tensor products of representations of linear groups with applications to Beurling-Fourier algebras
JO - Studia Mathematica
PY - 2014
VL - 220
IS - 3
SP - 221
EP - 241
AB - 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.
LA - eng
KW - tensor products of irreducible representations of groups; dimension of isotypic component; harmonic analysis; Beurling-Fourier algebra
UR - http://eudml.org/doc/285851
ER -