English

Trace of the twisted Heisenberg Category

Quantum Algebra 2017-10-25 v3 Representation Theory

Abstract

We show that the trace decategorification, or zeroth Hochschild homology, of the twisted Heisenberg category defined by Cautis and Sussan is isomorphic to a quotient of WW^-, a subalgebra of W1+W_{1+\infty} defined by Kac, Wang, and Yan. Our result is a twisted analogue of that by Cautis, Lauda, Licata, and Sussan relating W1+W_{1+\infty} and the trace decategorification of the Heisenberg category.

Keywords

Cite

@article{arxiv.1702.08108,
  title  = {Trace of the twisted Heisenberg Category},
  author = {Can Ozan Oğuz and Michael Reeks},
  journal= {arXiv preprint arXiv:1702.08108},
  year   = {2017}
}

Comments

To appear in Communications in Math. Physics, 36 pages, tikz diagrams