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Hochschild Cohomologies of the Algebra of Smooth Functions
Authors:Zharinov  V. V.
Affiliation:(1) Steklov Mathematical Institute, RAS, Moscow, Russia
Abstract:Based on the previously developed technique using the Laplace transformation of distributions with compact support, we calculate the Hochschild cohomologies of the algebra of smooth functions on a finite-dimensional real vector space with coefficients in the adjoint representation.
Keywords:associative algebra  bimodule  coboundary operator  complex  exponential map
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