Description of bi-quadratic algebras on 3 generators with PBW basis

DOI10.1016/j.jalgebra.2023.05.013arXiv2112.11105OpenAlexW4377137562MaRDI QIDQ6169066

Vladimir V. Bavula

Publication date: 11 July 2023

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

Full work available at URL: https://arxiv.org/abs/2112.11105

zbMATH Keywords

automorphismLie algebrageneralized Weyl algebrasnormal elementregular elementdiskew polynomial ringsbi-quadratic algebras

Mathematics Subject Classification ID

Quadratic and Koszul algebras (16S37) Filtered associative rings; filtrational and graded techniques (16W70) Associative rings and algebras arising under various constructions (16S99)

Related Items (1)

On weak annihilators and nilpotent associated primes of skew PBW extensions

Cites Work

• Classification of simple sl(2)-modules and finite-dimensionality of the module of extensions of simple sl(2)-modules
• Double Ore extensions.
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• Finite dimensionality of \(\text{Ext}^ n\)'s and \(\text{Tor}_ n\)'s of simple modules over one class of algebras
• ``Hidden symmetry of Askey-Wilson polynomials
• Quiver generalized Weyl algebras, skew category algebras and diskew polynomial rings
• Simple D[X, Y; ?,a-modules]
• Quantum deformations of SU(2)
• Generalized Weyl algebras and diskew polynomial rings

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