Derived Categories and Lie Algebras

Details Derived Categories and Lie Algebras Derived Categories and Lie Algebras

2006-04-26

arxiv.org/abs/math/0604564v2

Mathematics

Quantum Algebra

40 pages

Scientific paper

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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