The prime spectrum of the Drinfeld double of the Jordan plane

2023/01/11 by K. A. Brown, Brown, K. A., J. T. Stafford +1 · 1 citation
Mathematics · Physics and Astronomy · #16D25 #16T05 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.2301.04428

openalex publication_date 2023/01/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

The Hopf algebra D which is the subject of this paper can be viewed as a Drinfeld double of the bosonisation of the Jordan plane. Its prime and primitive spectra are completely determined. As a corollary of this analysis it is shown that D satisfies the Dixmier-Moeglin Equivalence, leading to the formulation of a conjecture on the validity of this equivalence for pointed Noetherian Hopf algebras.

Cited by

• Pointed Hopf algebras, the Dixmier-Moeglin Equivalence and Noetherian group algebras

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