2005/11/15 by Rina Anno, Anno, Rina
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Quantum Algebra (math.QA)
paper · pdf · doi:10.48550/arxiv.math/0511396
openalex publication_date 2005/11/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Consider a smooth affine algebraic variety X over an algebraically closed field, and let a finite group G act on it. We assume that the characteristic of the field is greater than the dimension of X and the order of G. An explicit formula for multiplication on the Hochschild cohomology of a crossed product of k[G] and k[X] is given in terms of multivector fields on X and g-invariant subvarieties of X for g∈ G.