Cohomology of the Lie algebras of differential operators: lifting formulas
classification
q-alg
math.QA
keywords
cocycledifferentialformulaoperatorsalgebraalgebrascohomologyconstruct
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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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