Connected Hopf Algebras that are Not Hopf Ore Extensions of Enveloping Algebras

Published 27 Nov 2025 in math.RA | (2511.22203v1)

Abstract: We construct a family of connected Hopf algebras with finite Gelfand-Kirillov dimension, none of which is an iterated Hopf Ore extension of the universal enveloping algebra of its primitive part. This provides a negative answer to a question posed by Li and Zhou. It is also demonstrated that these connected Hopf algebras can be formulated as an iterated crossed product of enveloping algebras.

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