Snowden, Andrew and Gunturkun, Sema (2023) The representation theory of the increasing monoid. Memoirs of the American Mathematical Society, 1420 . American Mathematical Society, pp. 1-148. ISBN 978-1-4704-7514-7. Official URL: https://doi.org/10.1090/memo/1420
Snowden, Andrew and Gunturkun, Sema (2023) The representation theory of the increasing monoid. Memoirs of the American Mathematical Society, 1420 . American Mathematical Society, pp. 1-148. ISBN 978-1-4704-7514-7. Official URL: https://doi.org/10.1090/memo/1420
Snowden, Andrew and Gunturkun, Sema (2023) The representation theory of the increasing monoid. Memoirs of the American Mathematical Society, 1420 . American Mathematical Society, pp. 1-148. ISBN 978-1-4704-7514-7. Official URL: https://doi.org/10.1090/memo/1420
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.
| Item Type: | Book |
|---|---|
| Divisions: | Faculty of Science and Health Faculty of Science and Health > Mathematics, Statistics and Actuarial Science, School of |
| SWORD Depositor: | Unnamed user with email elements@essex.ac.uk |
| Depositing User: | Unnamed user with email elements@essex.ac.uk |
| Date Deposited: | 06 Jun 2023 09:42 |
| Last Modified: | 01 Aug 2023 02:50 |
| URI: | http://repository.essex.ac.uk/id/eprint/33679 |
Available files
Filename: RepresentationTheory_of_IncreasingMonoids.pdf