A class of finite-by-cocommutative Hopf algebras
Quantum Algebra
2023-03-27 v1
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.
Keywords
Cite
@article{arxiv.2303.14037,
title = {A class of finite-by-cocommutative Hopf algebras},
author = {Nicolás Andruskiewitsch and Sonia Natale and Blas Torrecillas},
journal= {arXiv preprint arXiv:2303.14037},
year = {2023}
}
Comments
25 pages, comments are welcome