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An affine PI Hopf algebra not finite over a normal commutative Hopf subalgebra by Gelaki, Shlomo; Letzter, Edward S. is a scholarly article available to read on EtoBox.

What is An affine PI Hopf algebra not finite over a normal commutative Hopf subalgebra about?

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.

Author

Gelaki, Shlomo; Letzter, Edward S.

Published

2001

Language

EN