Higher Tensor Product for sl2 and Webster algebras
Representation Theory
2025-11-20 v1 Quantum Algebra
Abstract
We construct a model for the tensor product of the regular 2-representation of the enveloping algebra of with the vector 2-representation, based on the -categorical definition of the second author. Our model contains McMillan's minimal one. Our use of an infinite family of generators provides a simpler model that we prove is equivalent to Webster's tensor product category.
Cite
@article{arxiv.2511.15604,
title = {Higher Tensor Product for sl2 and Webster algebras},
author = {Mark Ebert and Raphael Rouquier},
journal= {arXiv preprint arXiv:2511.15604},
year = {2025}
}