Derived Categories and Lie Algebras
نویسندگان
چکیده
We define a topological space for the complexes of fixed dimension vector over the derived category of a finite dimensional algebra with finite global dimension. It has a local structure of affine variety under the action of the algebraic group. We consider the constructible functions which reflect the stratifications of the orbit spaces. By using the convolution rule, we obtain the geometric realization of the Lie algebras arising from the derived categories.
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