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arXiv · 2104.07530

Categorification of the elliptic Hall algebra

Youssef Mousaaid·Alistair Savage
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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.

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BibTeXRIS

Youssef Mousaaid, Alistair Savage. 2021-04-15. Categorification of the elliptic Hall algebra. https://doi.org/10.25537/dm.2022v27.1225-1273

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