W-algebras from Heisenberg categories
Quantum Algebra
2019-09-16 v1 Representation Theory
Abstract
The trace (or zeroth Hochschild homology) of Khovanov's Heisenberg category is identified with a quotient of the algebra W_{1+\infty}. This induces an action of W_{1+\infty} on symmetric functions.
Keywords
Cite
@article{arxiv.1501.00589,
title = {W-algebras from Heisenberg categories},
author = {Sabin Cautis and Aaron D. Lauda and Anthony M. Licata and Joshua Sussan},
journal= {arXiv preprint arXiv:1501.00589},
year = {2019}
}
Comments
31 pages, tikz diagrams