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arXiv · 1805.02005

Derived Picard groups of homologically smooth Koszul DG algebras

Xuefeng Mao·Yinuo Yang·Jiwei He
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Abstract

In this paper, we show that the derived Picard group of a homologically smooth Koszul connected cochain DG algebra is isomorphic to the opposite group of the derived Picard group of its finite dimensional local Ext-algebra. As applications, we compute the derived Picard groups of some important DG algebras such as trivial DG polynomial algebras, trivial DG free algebras and several non-trivial DG down-up algebras and DG free algebras.

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Xuefeng Mao, Yinuo Yang, Jiwei He. 2018-05-05. Derived Picard groups of homologically smooth Koszul DG algebras. https://arxiv.org/abs/1805.02005

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