Embedding Deligne's category $\mathrm{\underline{Re}p}(S_t)$ in the Heisenberg category
Representation Theory
2021-11-12 v2 Category Theory
Abstract
We define a faithful linear monoidal functor from the partition category, and hence from Deligne's category , to the Heisenberg category. We show that the induced map on Grothendieck rings is injective and corresponds to the Kronecker coproduct on symmetric functions.
Keywords
Cite
@article{arxiv.1905.05620,
title = {Embedding Deligne's category $\mathrm{\underline{Re}p}(S_t)$ in the Heisenberg category},
author = {Samuel Nyobe Likeng and Alistair Savage and appendix with Christopher Ryba},
journal= {arXiv preprint arXiv:1905.05620},
year = {2021}
}
Comments
23 pages; v2: minor corrections, published version