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Derived Categories and Lie Algebras

Jie Xiao·Fan Xu·Guanglian Zhang
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Abstract

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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Jie Xiao, Fan Xu, Guanglian Zhang. 2010-01-27. Derived Categories and Lie Algebras. https://arxiv.org/abs/math/0604564

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