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arXiv · 1312.0178

Generalized Hopf-Ore extensions

Lan You·Zhen Wang·Huixiang Chen
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Abstract

We derive necessary and sufficient conditions for an Ore extension of a Hopf algebra to have a Hopf algebra structure of a certain type. This construction generalizes the notion of Hopf-Ore extension, called a generalized Hopf-Ore extension. We describe the generalized Hopf-Ore extensions of the enveloping algebras of Lie algebras. For some Lie algebras g, the generalized Hopf-Ore extensions of U(g) are classified.

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Lan You, Zhen Wang, Huixiang Chen. 2013-12-01. Generalized Hopf-Ore extensions. https://arxiv.org/abs/1312.0178

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