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Journal of Generalized Lie Theory and Applications

ISSN: 1736-4337

Open Access

Cohomology and Deformations of Courant Pairs

Abstract

Mandal A and Mishra SK

In this note we define a notion of Courant pair as a Courant algebra over the Lie algebra of linear derivations on an associative algebra. We study formal deformations of Courant pairs by constructing a cohomology bicomplex with coefficients in a module from the cochain complexes defining Hochschild cohomology and Leibniz cohomology.

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