2001/12/04 by Shlomo Gelaki, Gelaki, Shlomo, Edward S. Letzter +1
Mathematics · Physics and Astronomy · #16 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #Rings and Algebras (math.RA) #math.QA #math.RA #msc:16
paper · pdf · doi:10.48550/arxiv.math/0112038
AMS-TeX; 8 Pages; no figures
arxiv created 2001/12/04 · openalex publication_date 2001/12/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.