A universal enveloping algebra for cocommutative rack bialgebras
Algebraic Topology
2018-10-12 v2 Quantum Algebra
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.
Cite
@article{arxiv.1810.03335,
title = {A universal enveloping algebra for cocommutative rack bialgebras},
author = {Ulrich Kraehmer and Friedrich Wagemann},
journal= {arXiv preprint arXiv:1810.03335},
year = {2018}
}
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17 pages