Calculations on Lie Algebra of the Group of Affine Symplectomorphisms

Zuhier Altawallbeh

Advances in Mathematical Physics, 2017, vol. 2017, 1-5

Abstract:

We find the image of the affine symplectic Lie algebra from the Leibniz homology to the Lie algebra homology . The result shows that the image is the exterior algebra generated by the forms . Given the relevance of Hochschild homology to string topology and to get more interesting applications, we show that such a map is of potential interest in string topology and homological algebra by taking into account that the Hochschild homology is isomorphic to . Explicitly, we use the alternation of multilinear map, in our elements, to do certain calculations.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:9513237

DOI: 10.1155/2017/9513237

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