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Drinfeld doubles via derived Hall algebras and Bridgeland Hall algebras (1901.00257v1)
Published 2 Jan 2019 in math.RT, math.QA, and math.RA
Abstract: Let $\A$ be a finitary hereditary abelian category. We give a Hall algebra presentation of Kashaev's theorem on the relation between Drinfeld double and Heisenberg double. As applications, we obtain realizations of the Drinfeld double Hall algebra of $\A$ via its derived Hall algebra and Bridgeland Hall algebra of $m$-cyclic complexes.
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