An affine pi hopf algebra not finite over a normal commutative hopf subalgebra
Permanent link to this recordhttp://hdl.handle.net/20.500.12613/6124
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AbstractIn 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.
Citation to related workAmerican Mathematical Society (AMS)
Has partProceedings of the American Mathematical Society
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