An affine PI Hopf algebra not finite over a normal commutative Hopf subalgebra

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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.
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Quantum Algebra, Rings and Algebras, 16

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http://salesiana.dossiersoluciones.com/handle/123456789/62815

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0112038
 http://arxiv.org/abs/math/0112038

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arXiv