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5 papers · 2 filters
A survey of equivariant map algebras with open problems
Erhard Neher, Alistair Savage
This paper presents an overview of the current state of knowledge in the field of equivariant map algebras and discusses some open problems in this area.
Dimensions of components of tensor products of the linear groups representations with applications to Beurling-Fourier algebras
Benoît Collins, Hun Hee Lee, Piotr Śniady
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 rel…
Positive definite superfunctions and unitary representations of Lie supergroups
Karl-Hermann Neeb, Hadi Salmasian
For a broad class of Frechet-Lie supergroups we prove that there exists a correspondence between positive definite smooth superfunctions and matrix coefficients of unitary represen…
Branching Rules for Supercuspidal Representations of SL_2(k)
Monica Nevins
The restriction of a supercuspidal representation of SL_2(k), for k a local nonarchimedean field, to a maximal compact subgroup decomposes as a multiplicity-free direct sum of irre…
Equivariant map superalgebras
Alistair Savage
Suppose a group acts on a scheme and a Lie superalgebra . The corresponding equivariant map superalgebra is the Lie superalgebra of equivariant regular maps f…