Solutions to two questions about the Weyl algebras

DOI10.1090/S0002-9939-04-07673-7zbMath1069.16028MaRDI QIDQ4654103

Vladimir V. Bavula

Publication date: 1 March 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Weyl algebrasholonomic modulesnon-Noetherian subalgebras

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Graded rings and modules (associative rings and algebras) (16W50) Rings of differential operators (associative algebraic aspects) (16S32) Noetherian rings and modules (associative rings and algebras) (16P40)

Cites Work

• Unnamed Item
• \(d\)-critical modules of length 2 over Weyl algebras
• Non-holonomic modules over Weyl algebras and enveloping algebras
• The irreducible representations of the Lie algebra sl(2) and of the Weyl algebra
• Finite dimensionality of \(\text{Ext}^ n\)'s and \(\text{Tor}_ n\)'s of simple modules over one class of algebras
• Commutative linear differential operators
• Stability of Gelfand–Kirillov dimension for rings with the strong second layer condition
• Sur les algèbres de Weyl

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