Presentations of linear monoidal categories and their endomorphism algebras

2018/10/25 by Bingyan Liu, Liu, Bingyan · 1 citation
Mathematics · #18D10 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1810.10988

openalex publication_date 2018/10/25 · openalex created_date 2018/11/02 · openalex updated_date 2026/07/28

Abstract

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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