2015/03/11 by Lauren Grimley, Grimley, Lauren, Van C. Nguyen +3
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.1503.03531
openalex publication_date 2015/03/11 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28
We construct the Gerstenhaber bracket on Hochschild cohomology of a twisted\ntensor product of algebras, and, as examples, compute Gerstenhaber brackets for\nsome quantum complete intersections arising in work of Buchweitz, Green,\nMadsen, and Solberg. We prove that a subalgebra of the Hochschild cohomology\nring of a twisted tensor product, on which the twisting is trivial, is\nisomorphic, as Gerstenhaber algebras, to the tensor product of the respective\nsubalgebras of the Hochschild cohomology rings of the factors.\n