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The Hochschild cohomology of the enveloping algebra of a Lie-Rinehart\n pair

2018/10/05 by Francisco Kordon, Kordon, Francisco
Mathematics · #16E40 #16E65 #16S32 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1810.02901

openalex publication_date 2018/10/05 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

Let (S,L) be a Lie-Rinehart pair such that L is S-projective and let\nU be its universal enveloping algebra. The purpose of this paper is to\npresent a spectral sequence which converges to the Hochschild cohomology of U\nand whose second page involves the Lie-Rinehart cohomology of the pair and the\nHochschild cohomology of S with values on U.\n

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