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arXiv · 2303.14037

A class of finite-by-cocommutative Hopf algebras

Nicolás Andruskiewitsch·Sonia Natale·Blas Torrecillas
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Abstract

We present a rich source of Hopf algebras starting from a cofinite central extension of a Noetherian Hopf algebra and a subgroup of the algebraic group of characters of the central Hopf subalgebra. The construction is transparent from a Tannakian perspective. We determine when the new Hopf algebras are co-Frobenius, or cosemisimple, or Noetherian, or regular, or have finite Gelfand-Kirillov dimension.

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BibTeXRIS

Nicolás Andruskiewitsch, Sonia Natale, Blas Torrecillas. 2023-03-24. A class of finite-by-cocommutative Hopf algebras. https://arxiv.org/abs/2303.14037

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