Hochschild cohomology and derived Picard groups
Copyright policy )Hochschild cohomology and derived Picard groups
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.
15 pages, accepted for publication in JPAA
- University of Paris France
- University of Paris France
differential graded algebras, Algebra and Number Theory, Differential graded algebras and applications (associative algebraic aspects), Gerstenhaber brackets, K-Theory and Homology (math.KT), 16E40, Resolutions; derived functors (category-theoretic aspects), Derived categories, triangulated categories, Mathematics - Algebraic Geometry, Hochschild cohomology rings, derived equivalences, Module categories in associative algebras, (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), derived categories, Mathematics - K-Theory and Homology, FOS: Mathematics, derived Picard groups, Algebraic Geometry (math.AG)
differential graded algebras, Algebra and Number Theory, Differential graded algebras and applications (associative algebraic aspects), Gerstenhaber brackets, K-Theory and Homology (math.KT), 16E40, Resolutions; derived functors (category-theoretic aspects), Derived categories, triangulated categories, Mathematics - Algebraic Geometry, Hochschild cohomology rings, derived equivalences, Module categories in associative algebras, (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), derived categories, Mathematics - K-Theory and Homology, FOS: Mathematics, derived Picard groups, Algebraic Geometry (math.AG)
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