Affine commutative-by-finite Hopf algebras
Quantum Algebra
2019-07-25 v1 Rings and Algebras
Abstract
The objects of study in this paper are Hopf algebras which are finitely generated algebras over an algebraically closed field and are extensions of a commutative Hopf algebra by a finite dimensional Hopf algebra. Basic structural and homological properties are recalled and classes of examples are listed. Bounds are obtained on the dimensions of simple -modules, and the structure of is shown to be severely constrained when the finite dimensional extension is semisimple and cosemisimple.
Keywords
Cite
@article{arxiv.1907.10527,
title = {Affine commutative-by-finite Hopf algebras},
author = {Kenneth Brown and Miguel Couto},
journal= {arXiv preprint arXiv:1907.10527},
year = {2019}
}
Comments
Preliminary version. Any comments are welcome