Model structures, categorial quotients and representations of super commutative Hopf algebras II, The case Gl(m,n)

Details Model structures, categorial quotients and representations of super commutative Hopf algebras II, The case Gl(m,n) Model structures, categorial quotients and representations of super commutative Hopf algebras II, The case Gl(m,n)

2010-10-15

arxiv.org/abs/1010.3217v3

Mathematics

Representation Theory

v2: references added, typos removed, v3: typos and two inaccuracies removed

Scientific paper

We construct a tensor functor from the category of super representations of the superlinear group Gl(m,n) over a field of characteristic zero to the category of super representations of the linear group Gl(m-n) over some extension field (for m at least equal to n). We show that this functor maps irreducible representations to isotypic representations, and we compute the multiplicities.

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