Back to Search
Start Over
Schur Functors and Categorified Plethysm
- Publication Year :
- 2021
-
Abstract
- It is known that the Grothendieck group of the category of Schur functors is the ring of symmetric functions. This ring has a rich structure, much of which is encapsulated in the fact that it is a "plethory": a monoid in the category of birings with its substitution monoidal structure. We show that similarly the category of Schur functors is a "2-plethory", which descends to give the plethory structure on symmetric functions. Thus, much of the structure of symmetric functions exists at a higher level in the category of Schur functors.<br />Comment: 53 pages
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2106.00190
- Document Type :
- Working Paper