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- W3209856473 abstract "We consider algebraic and analytic de Rham cohomologies of some principal divisors and express Lie algebroid cohomology over an algebraic space (in short we call it as $a$-space) as derived functor. We define the Hochschild cohomology of universal enveloping algebroid and jet algebroid of a Lie algebroid over an $a$-space. We show that these cohomology groups can be computed using suitable standard complexes and corresponding formulas depend on certain natural structures on universal enveloping algebroid and jet algebroid associated with Lie algebriods. We present the Hochschild-Kostant-Rosenberg (HKR) theorem and the dual Hochschild-Kostant-Rosenberg theorem for locally free Lie algebroid." @default.
- W3209856473 created "2021-11-08" @default.
- W3209856473 creator A5069515948 @default.
- W3209856473 date "2021-11-02" @default.
- W3209856473 modified "2023-09-27" @default.
- W3209856473 title "Cohomology of Lie algebroid over Algebraic spaces" @default.
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