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arXiv · 1304.2636

Enveloping Algebras and Cohomology of Leibniz Pairs

Yan-Hong Bao·Yu Ye
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Abstract

We introduce the enveloping algebra for a Leibniz pair, and show that the category of modules over a Leibniz pair is isomorphic to the category of left modules over its enveloping algebra. Consequently, we show that the cohomology theory for a Leibniz pair introduced by Flato, Gerstenhaber and Voronov can be interpreted by Ext-groups of modules over the enveloping algebra.

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BibTeXRIS

Yan-Hong Bao, Yu Ye. 2013-04-09. Enveloping Algebras and Cohomology of Leibniz Pairs. https://doi.org/10.1080/00927872.2014.948629

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