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arXiv · 1811.02909

Cleft extensions of weak Hopf algebras

Jorge A. Guccione·Juan J. Guccione·Christian Valqui
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Abstract

In this paper we study the theory of cleft extensions for a weak bialgebra H. Among other results, we determine when two unitary crossed products of an algebra A by H are equivalent and we prove that if H is a weak Hopf algebra, then the categories of H-cleft extensions of an algebra A, and of unitary crossed products of A by H, are equivalent.

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Jorge A. Guccione, Juan J. Guccione, Christian Valqui. 2019-07-09. Cleft extensions of weak Hopf algebras. https://arxiv.org/abs/1811.02909

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