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Hochschild Cohomology of the Algebra of Smooth Functions on the Torus

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Abstract

We calculate the Hochschild cohomology of the algebra of smooth functions on a finite-dimensional real torus with coefficients in the adjoint representation, generalizing the previously developed technique to the discrete case for this.

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  1. Steklov Mathematical Institute, RAS, Moscow, Russia

    V. V. Zharinov

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  1. V. V. Zharinov
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 144, No. 3, pp. 435–452, September, 2005.

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Zharinov, V.V. Hochschild Cohomology of the Algebra of Smooth Functions on the Torus. Theor Math Phys 144, 1247–1263 (2005). https://doi.org/10.1007/PL00022153

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  • DOI: https://doi.org/10.1007/PL00022153

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