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Presentations of linear monoidal categories and their endomorphism algebras

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arxiv 1810.10988 v1 pith:5HQBPRME submitted 2018-10-25 math.RT

Bingyan Liu This is my paper · ORCID
classification math.RT
keywords linearmonoidalcategoriescategoryalgebrasendomorphismpresentationpresentations
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We give the definition of presentations of linear monoidal categories. Our main result is that given a presentation of a linear monoidal category, we can produce a presentation of the same category as a linear category. We apply this result to endomorphism algebras of certain important linear monoidal categories.

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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. Higher-level affine wreath product algebras

    math.RT 2026-05 unverdicted novelty 7.0 of 10

    Introduces higher-level affine wreath product algebras and higher-level affine Frobenius Hecke algebras as path algebras of new categories depending on a Frobenius superalgebra, unifying various higher-level construct...

  2. Higher-level degenerate spin affine Hecke superalgebras

    math.RT 2026-07 accept novelty 5.5 of 10

    Higher-level degenerate spin affine Hecke superalgebras are isomorphic (after Clifford tensor) to higher-level degenerate affine Hecke–Clifford superalgebras, hence Morita superequivalent.

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