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Categorification of the elliptic Hall algebra (2104.07530v1)

Published 15 Apr 2021 in math.QA and math.RT

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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