English

Hochschild cohomology and derived Picard groups

K-Theory and Homology 2007-05-23 v1 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.math/0310221,
  title  = {Hochschild cohomology and derived Picard groups},
  author = {Bernhard Keller},
  journal= {arXiv preprint arXiv:math/0310221},
  year   = {2007}
}

Comments

15 pages, accepted for publication in JPAA

R2 v1 2026-07-22T16:58:39.480Z