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

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

2001-12-04

arxiv.org/abs/math/0112038v1

Mathematics

Quantum Algebra

AMS-TeX; 8 Pages; no figures

Scientific paper

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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