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arXiv · 2103.01298

The Link-Indecomposable Components of Hopf Algebras and Their Products

Kangqiao Li
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Abstract

The link relation on simple subcoalgebras is used for decompositions of coalgebras. In this paper, we provide more sufficient conditions for this link relation, and prove a formula on the products between link-indecomposable components of Hopf algebras with the dual Chevalley property. Furthermore, we show that each of its component is generated by a simple subcoalgebra, as a faithfully flat module (in fact, a projective generator) over a Hopf subalgebra which is the component containing the unit element. Our conclusions generalize some relevant results on pointed Hopf algebras, which were established by Montgomery in 1995.

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Kangqiao Li. 2021-03-01. The Link-Indecomposable Components of Hopf Algebras and Their Products. https://arxiv.org/abs/2103.01298

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