An affine pi hopf algebra not finite over a normal commutative hopf subalgebra
Genre
Conference ProceedingDate
2003-09-01Author
Gelaki, SLetzter, ES
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http://hdl.handle.net/20.500.12613/6124
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10.1090/S0002-9939-03-06815-1Abstract
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.Citation to related work
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Proceedings of the American Mathematical SocietyADA compliance
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http://dx.doi.org/10.34944/dspace/6106