An affine PI Hopf algebra not finite over a normal commutative Hopf subalgebra
Quantum Algebra
2007-05-23 v1 Rings and Algebras
Abstract
In formulating a generalized framework to study certain noncommutative algebras naturally arising in representation theory, K. A. Brown asked if every finitely generated Hopf algebra satisfying a polynomial identity was finite over a normal commutative Hopf subalgebra. In this note we show that Radford's biproduct, applied to the enveloping algebra of the Lie superalgebra pl(1,1), provides a noetherian prime counterexample.
Keywords
Cite
@article{arxiv.math/0112038,
title = {An affine PI Hopf algebra not finite over a normal commutative Hopf subalgebra},
author = {Shlomo Gelaki and Edward S. Letzter},
journal= {arXiv preprint arXiv:math/0112038},
year = {2007}
}
Comments
AMS-TeX; 8 Pages; no figures