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Deligne's category Rep(GL_\delta) and representations of general linear supergroups

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arxiv 1108.0652 v1 pith:YGJBT32L submitted 2011-08-02 math.RT math.CT

Jonathan Comes , Benjamin Wilson This is my paper · ORCID
classification math.RTmath.CT
keywords tensordeltageneralgiveindecomposablelinearproductssummands
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We classify indecomposable summands of mixed tensor powers of the natural representation for the general linear supergroup up to isomorphism. We also give a formula for the characters of these summands in terms of composite supersymmetric Schur polynomials, and give a method for decomposing their tensor products. Along the way, we describe indecomposable objects in Rep(GL_\delta) and explain how to decompose their tensor products.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Towards interpolating categories for equivariant map algebras

    math.RT 2025-04 conditional novelty 7.0 of 10

    Categorical modules for (equivariant) map algebras are defined diagrammatically, and a candidate interpolating category Curr(OB) for current gl_n-modules is constructed, with its central fullness property left as a co...

  2. Tensor product of the Fock representation with its dual and the Deligne category

    math.RT 2019-08 accept novelty 6.0 of 10

    F∨_t⊗F for sl(∞) has a unique decreasing filtration with simple quotients S_{k+t,k} (t≥0) or S_{k,k−t} (t<0), proved via the Deligne category abelian envelope.

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