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Hochschild cohomology and derived Picard groups

Bernhard Keller
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Abstract

We interpret Hochschild cohomology as the Lie algebra of the derived Picard group (in the sense of Rouquier-Zimmermann and Yekutieli) and deduce that it is preserved under derived equivalences.

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Bernhard Keller. 2003-10-15. Hochschild cohomology and derived Picard groups. https://arxiv.org/abs/math/0310221

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