Incidence category of the Young lattice, injections between finite sets, and Koszulity

2016/07/01 by Brendan Dubsky, Dubsky, Brendan
Mathematics · #16S37 #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #Representation Theory (math.RT) #math.RT #msc:16S37

paper · pdf · doi:10.48550/arxiv.1607.00426

19 pages

openalex publication_date 2016/07/01 · arxiv created 2018/10/04 · arxiv updated 2018/10/08 · openalex created_date 2022/08/22 · openalex updated_date 2026/07/28

Abstract

We describe the Gabriel quiver with defining relations of the category of injections between finite sets, show that it is quadratic self-dual, and construct linear resolutions for its simple modules.

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