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arXiv · 1307.1545

Cofree Hopf algebras on Hopf bimodule algebras

Xin Fang·Run-Qiang Jian
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Abstract

We investigate a Hopf algebra structure on the cotensor coalgebra associated to a Hopf bimodule algebra which contains universal version of Clifford algebras and quantum groups as examples. It is shown to be the bosonization of the quantum quasi-shuffle algebra built on the space of its right coinvariants. The universal property and a Rota-Baxter algebra structure are established on this new algebra.

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Xin Fang, Run-Qiang Jian. 2013-07-05. Cofree Hopf algebras on Hopf bimodule algebras. https://arxiv.org/abs/1307.1545

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