Grothendieck rings of towers of generalized Weyl algebras in the finite orbit case

DOI10.1016/j.jalgebra.2023.11.020arXiv2212.07541MaRDI QIDQ6146651

Jonas T. Hartwig, Daniele Rosso

Publication date: 15 January 2024

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

Full work available at URL: https://arxiv.org/abs/2212.07541

zbMATH Keywords

generalized Weyl algebrastensor categoryweight modulesGrothendieck ring

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Grothendieck groups, (K)-theory, etc. (16E20) Rings of differential operators (associative algebraic aspects) (16S32) Universal enveloping algebras of Lie algebras (16S30)

Cites Work

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• Twisted generalized Weyl algebras and primitive quotients of enveloping algebras
• Down-up algebras
• Noncommutative deformations of type-\(A\) Kleinian singularities
• Simple modules of the Witten-Woronowicz algebra.
• Weight modules over generalized Weyl algebras
• Grothendieck rings of towers of twisted generalized Weyl algebras
• ℤ-graded simple rings
• Simple weith modules over twisted generalized weyl algebras
• Weight modules over Bell-Rogalski algebras

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