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arxiv: 1606.01654 · v1 · pith:DOZ2D3LYnew · submitted 2016-06-06 · 🧮 math.KT · math.DG· math.RA· math.SG

Cohomology and deformations of Courant pairs

classification 🧮 math.KT math.DGmath.RAmath.SG
keywords cohomologycourantalgebradeformationspairsassociativebicomplexcochain
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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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