%0 Journal Article %T Derived Categories and Lie Algebras %A Jie Xiao %A Fan Xu %A Guanglian Zhang %J Mathematics %D 2006 %I arXiv %X 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 $\mk_2(\mp(A))$. %U http://arxiv.org/abs/math/0604564v2