Double Hall algebras and derived equivalences

Details Double Hall algebras and derived equivalences Double Hall algebras and derived equivalences

2008-09-22

arxiv.org/abs/0809.3470v5

Mathematics

Quantum Algebra

Scientific paper

We show that the reduced Drinfeld double of the Ringel-Hall algebra of a
hereditary category is invariant under derived equivalences. By associating an
explicit isomorphism to a given derived equivalence, we also extend the results
of [BS1], [BS2], [SVdB], and [XY].

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