arxiv: math/0604564 · v2 · submitted 2006-04-26 · 🧮 math.QA

Derived Categories and Lie Algebras

Jie Xiao , Fan Xu , Guanglian Zhang This is my paper

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keywords algebraderivedfinitealgebrasarisingattachedbasiccategories

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Let $\md^b(A)$ 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 $\mk_2(\mp(A))$ of $\mk^b(\mp(A))$ in term of constructible functions on varieties attached to $\mk_2(\mp(A))$.

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Derived Categories and Lie Algebras

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