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

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dc.creatorGelaki, Shlomo
dc.creatorLetzter, Edward S.
dc.date2001-12-04
dc.date.accessioned2026-07-07T04:44:59Z
dc.date.available2026-07-07T04:44:59Z
dc.descriptionIn 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.
dc.descriptionAMS-TeX; 8 Pages; no figures
dc.identifierhttps://arxiv.org/abs/math/0112038
dc.identifierhttp://arxiv.org/abs/math/0112038
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62815
dc.subjectQuantum Algebra
dc.subjectRings and Algebras
dc.subject16
dc.titleAn affine PI Hopf algebra not finite over a normal commutative Hopf subalgebra
dc.typetext

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