Categorification of the elliptic Hall algebra
Abstract
We show that the central charge $k$ reduction of the universal central extension of the elliptic Hall algebra is isomorphic to the trace, or zeroth Hochschild homology, of the quantum Heisenberg category of central charge $k$. As an application, we construct large families of representations of the universal extension of the elliptic Hall algebra.
 Publication:

arXiv eprints
 Pub Date:
 April 2021
 arXiv:
 arXiv:2104.07530
 Bibcode:
 2021arXiv210407530M
 Keywords:

 Mathematics  Quantum Algebra;
 Mathematics  Representation Theory;
 Primary 18D10;
 Secondary 17B65;
 20C08;
 18R10
 EPrint:
 36 pages