Geodesic
Categorification of the elliptic Hall algebra
Documenta mathematica, Tome 27 (2022), pp. 1225-1273
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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.
DOI : 10.4171/dm/896
Classification : 17B65, 20C08
Mots-clés : categorification, Hecke algebras, elliptic Hall algebra, Heisenberg category, skein theory 
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     author = {Youssef Mousaaid and Alistair Savage},
     title = {Categorification of the elliptic {Hall} algebra},
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     doi = {10.4171/dm/896},
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Youssef Mousaaid; Alistair Savage. Categorification of the elliptic Hall algebra. Documenta mathematica, Tome 27 (2022), pp. 1225-1273. doi: 10.4171/dm/896

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