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arXiv · 1810.03335

A universal enveloping algebra for cocommutative rack bialgebras

Ulrich Kraehmer·Friedrich Wagemann
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Abstract

We construct a bialgebra object in the category of linear maps LM from a cocommutative rack bialgebra. The construction does extend to some non-cocommutative rack bialgebras, as is illustrated by a concrete example. As a separate result, we show that the Loday complex with adjoint coefficients embeds into the rack bialgebra deformation complex for the rack bialgebra defined by a Leibniz algebra.

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Ulrich Kraehmer, Friedrich Wagemann. 2018-10-08. A universal enveloping algebra for cocommutative rack bialgebras. https://arxiv.org/abs/1810.03335

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