Geodesic
Categorification of the elliptic Hall algebra
Documenta mathematica, Tome 27 (2022), pp. 1225-1273.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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.
Classification : 18N25, 17B65, 20C08
Keywords: categorification, elliptic Hall algebra, Heisenberg category, skein theory, Hecke algebras 
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Mousaaid, Youssef; Savage, Alistair. Categorification of the elliptic Hall algebra. Documenta mathematica, Tome 27 (2022), pp. 1225-1273. http://geodesic.mathdoc.fr/item/DOCMA_2022__27__a35/