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An affine pi hopf algebra not finite over a normal commutative hopf subalgebra

Gelaki, S
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Letzter, ES
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Conference Proceeding
Date
2003-09-01
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math.QA
 math.QA
 math.RA
 16
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http://hdl.handle.net/20.500.12613/6124
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0112038v1.pdf
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10.1090/S0002-9939-03-06815-1
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.
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American Mathematical Society (AMS)
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Proceedings of the American Mathematical Society
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