Drinfeld Doubles Via Derived Hall Algebras and Bridgeland’S Hall Algebras
Let $${\cal A}$$ 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 $${\cal A}$$ A via its derived Hall algebra and Bridgeland’s Hall algebra of m -cyclic complexes.