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Derived Categories and Lie Algebras

Jie Xiao, Fan Xu, Guanglian Zhang

math.QAarXiv:math/0604564

Abstract

Let b(A) be the derived category of a finite dimensional basic algebra A with finite global dimension. We construct the Lie algebra arising from the 2-periodic version 2((A)) of b((A)) in term of constructible functions on varieties attached to 2((A)).

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