The Dixmier-Moeglin equivalence for cocommutative Hopf algebras of finite Gelfand-Kirillov dimension.

DOI10.1007/s10468-014-9474-yzbMath1312.16029arXiv1403.7190OpenAlexW1989211270MaRDI QIDQ484632

Wing Hong Leung, Jason P. Bell

Publication date: 7 January 2015

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.7190

zbMATH Keywords

prime idealsGelfand-Kirillov dimensionprimitive idealscocommutative Hopf algebrasNoetherian Hopf algebras

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Ideals in associative algebras (16D25) Universal enveloping algebras of Lie algebras (16S30) Hopf algebras and their applications (16T05)

Related Items (6)

\(D\)-groups and the Dixmier-Moeglin equivalence ⋮ Hopf Ore extensions ⋮ On the Dixmier-Moeglin equivalence for Poisson-Hopf algebras ⋮ On the importance of being primitive ⋮ Poisson Dixmier-Moeglin equivalence from a topological point of view ⋮ The Dixmier-Moeglin equivalence, Morita equivalence, and homeomorphism of spectra

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