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arXiv · 1809.08028

Euler number and Betti numbers of homology groups of pre Lie superalgebra

Kentaro Mikami·Tadayoshi Mizutani
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Abstract

First we recall homology groups of prer Lie superalgebras. Then introducing double weighted chain spaces, we deal with pre Lie superalgebra of multi-vector fields with polynomial coefficients on n-dimensional number space. The bracket is Schouten bracket. We have several results about Euler number and Betti numbers of those homology groups of special pre Lie superalgebra.

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Kentaro Mikami, Tadayoshi Mizutani. 2018-09-21. Euler number and Betti numbers of homology groups of pre Lie superalgebra. https://arxiv.org/abs/1809.08028

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