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arXiv · 1812.10242

The representation theory of the increasing monoid

Sema Güntürkün·Andrew Snowden
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Abstract

We study the representation theory of the increasing monoid. Our results provide a fairly comprehensive picture of the representation category: for example, we describe the Grothendieck group (including the effective cone), classify injective objects, establish properties of injective and projective resolutions, construct a derived auto-duality, and so on. Our work is motivated by numerous connections of this theory to other areas, such as representation stability, commutative algebra, simplicial theory, and shuffle algebras.

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BibTeXRIS

Sema Güntürkün, Andrew Snowden. 2018-12-26. The representation theory of the increasing monoid. https://arxiv.org/abs/1812.10242

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