On derived categories of modules over 2-vertex basic algebras |
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Authors: | Dmitry Dubnov |
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Affiliation: | Moscow State University E-mail: root@dubnov.mccme.ru |
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Abstract: | We investigate finite dimensional 2-vertex basic algebras of finite global dimension and the derived categories of modules over such algebras. We prove that any superrigid object in the derived category of modules over a “loop-kind” two-vertex algebra is a pure module up to the action of Serre functor and translation. All superrigid objects in the derived categories of modules over two-vertex algebras of global dimension 2 are described. Also we obtain a complete classification of two-vertex basic algebras possessing a full exceptional pair in the derived category of modules. |
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Keywords: | Kac-Moody algebras vertex operators |
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