Irreducible finite-dimensional modules of prime characteristic down-up algebras.

DOI10.1016/J.JALGEBRA.2003.10.014zbMath1053.16018OpenAlexW1963534025MaRDI QIDQ1427392

Jeff Hildebrand

Publication date: 14 March 2004

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.10.014

zbMATH Keywords

highest weight modulesVerma modulesirreducible modulesdown-up algebras

Mathematics Subject Classification ID

Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Universal enveloping algebras of Lie algebras (16S30) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (2)

Classification of factorial generalized down-up algebras. ⋮ Down–up algebras over a polynomial base ring 𝕂[t₁,…,t_n]

Cites Work

• Unnamed Item
• Down-up algebras
• Centers of down-up algebras
• Down-up algebras and their representation theory
• Down-up algebras and ambiskew polynomial rings
• Differential Posets
• Noetherian down-up algebras
• CENTERS OF DOWN-UP ALGEBRAS OVER FIELDS OF PRIME CHARACTERISTIC
• A Hopf structure for down-up algebras

This page was built for publication: Irreducible finite-dimensional modules of prime characteristic down-up algebras.