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arXiv · 1901.00257

Drinfeld doubles via derived Hall algebras and Bridgeland Hall algebras

Fan Xu·Haicheng Zhang
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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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Fan Xu, Haicheng Zhang. 2019-01-02. Drinfeld doubles via derived Hall algebras and Bridgeland Hall algebras. https://arxiv.org/abs/1901.00257

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