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Algebraic deformation quantization of Leibniz algebras. (arXiv:1810.04050v1 [math.AT])
来源于:arXiv
In this paper we focus on a certain self-distributive multiplication on
coalgebras, which leads to so-called rack bialgebra. We construct canon-ical
rack bialgebras (some kind of enveloping algebras) for any Leibniz algebra. Our
motivation is deformation quantization of Leibniz algebras in the sense of [6].
Namely, the canonical rack bialgebras we have constructed for any Leibniz
algebra lead to a simple explicit formula of the rack-star-product on the dual
of a Leibniz algebra recently constructed by Dherin and Wagemann in [6]. We
clarify this framework setting up a general deformation theory for rack
bialgebras and show that the rack-star-product turns out to be a deformation of
the trivial rack bialgebra product. 查看全文>>