no. 1
A class of finite-by-cocommutative Hopf algebras
Andruskiewitsch, Nicolás1  ; Natale, Sonia Luján2; Torrecillas, Blas3
1 FaMAF-CIEM (CONICET), Universidad Nacional de Córdoba, Medina Allende s/n, Ciudad Universitaria, 5000 Córdoba, Argentina
2 Facultad de Matemática, Astronomía y Física, Universidad Nacional de Córdoba. CIEM-CONICET, Medina Allende s/n, Ciudad Universitaria, 5000 Córdoba, Argentina
3 Department of Mathematics, Universidad de Almería, Ctra. Sacramento s/n, 04071 Almería, Spain
Annals of Representation Theory, Volume 1 (2024) no. 1, pp. 73-94.

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.

Received:
Revised:
Accepted:
Published online:
DOI: 10.5802/art.5
Classification: 16T05, 17B37, 18M05
Andruskiewitsch, Nicolás 1; Natale, Sonia Luján 2; Torrecillas, Blas 3

1 FaMAF-CIEM (CONICET), Universidad Nacional de Córdoba, Medina Allende s/n, Ciudad Universitaria, 5000 Córdoba, Argentina
2 Facultad de Matemática, Astronomía y Física, Universidad Nacional de Córdoba. CIEM-CONICET, Medina Allende s/n, Ciudad Universitaria, 5000 Córdoba, Argentina
3 Department of Mathematics, Universidad de Almería, Ctra. Sacramento s/n, 04071 Almería, Spain
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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Andruskiewitsch, Nicolás; Natale, Sonia Luján; Torrecillas, Blas. A class of finite-by-cocommutative Hopf algebras. Annals of Representation Theory, Volume 1 (2024) no. 1, pp. 73-94. doi : 10.5802/art.5. https://art.centre-mersenne.org/articles/10.5802/art.5/

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