"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"--.
| ISBN: | 9781470465469 |
| Publication date: | 22nd June 2023 |
| Author: | Sema Güntürkün, Andrew W Snowden |
| Publisher: | American Mathematical Society |
| Format: | Paperback |
| Pagination: | 134 pages |
| Series: | Memoirs of the American Mathematical Society |
| Genres: |
Algebra Algebraic geometry |