Displaying similar documents to “Gaussian Maps and Tensor products of irreducible representations.”

Irreducible tensor representations of general linear Lie superalgebras

Tadeusz Józefiak (2009)

Colloquium Mathematicae

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We present a description of irreducible tensor representations of general linear Lie superalgebras in terms of generalized determinants in the symmetric and exterior superalgebras of a superspace over a field of characteristic zero.

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

Benoît Collins, Hun Hee Lee, Piotr Śniady (2014)

Studia Mathematica

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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.