W-algebras from Heisenberg categories
arXiv:1501.00589 · doi:10.1017/S1474748016000189
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.
31 pages, tikz diagrams