Artículos de revistas
On the existence of a derived equivalence between a Kozul algebra and its Yoneda Algebra
Date
2014-01Registration in:
Aquino, R.M.; Marcos, Eduardo Do Nascimento; Trepode, Sonia Elisabet; On the existence of a derived equivalence between a Kozul algebra and its Yoneda Algebra; World Scientific; Journal Of Algebra And Its Applications; 13; 4; 1-2014; 1-18
0219-4988
CONICET Digital
CONICET
Author
Aquino, R.M.
Marcos, Eduardo Do Nascimento
Trepode, Sonia Elisabet
Abstract
In this paper, we study the derived categories of a Koszul algebra and its Yoneda algebra to determine when those categories are triangularly equivalent. We prove that the simply connected Koszul algebras are derived equivalent to their Yoneda algebras. We have considered discrete Koszul algebras and we gave necessary and sufficient conditions for those Koszul algebras to be derived equivalent to their Yoneda algebras. We also study the class of Koszul algebras which are derived equivalent to hereditary algebras. For the case where the hereditary algebra is tame, we characterized the derived equivalence between those Koszul algebras and their Yoneda algebras.
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