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Cohomology of the Lie algebras of differential operators: lifting formulas

Boris Shoikhet
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Abstract

We construct the explicit formula for the (2n+1)-cocycle of the Lie algebra of (pseudo)differential operators on a n-dimensional space. We prove that this formula in fact defines a cocycle for n=1 and n=2.

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Boris Shoikhet. 1997-12-01. Cohomology of the Lie algebras of differential operators: lifting formulas. https://arxiv.org/abs/q-alg/9712007

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