A Bernstein-Gabber-Joseph theorem for affine algebras

DOI10.1017/S0013091500020277zbMath0938.16013OpenAlexW2054892552MaRDI QIDQ4267531

Vladimir V. Bavula, Thomas H. Lenagan

Publication date: 22 March 2000

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

Full work available at URL: https://doi.org/10.1017/s0013091500020277

zbMATH Keywords

enveloping algebrasKrull dimensionsholonomic modulesfinite dimensional Lie algebrasGelfand-Kirillov dimensionssimple affine algebrasfilter dimensionsfinite dimensional filtrationsleft faithful dimensions

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Rings of differential operators (associative algebraic aspects) (16S32) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (1)

Simple holonomic modules over the second Weyl algebra \(A_2\)

Cites Work

• Unnamed Item
• Non-holonomic modules over Weyl algebras and enveloping algebras
• Krull dimensions of the enveloping algebra of sl(2,C)
• Representations of solvable Lie algebras. V: On the Gelfand-Kirillov dimension of simple modules
• Krull, Gelfand-Kirillov, and filter dimensions of simple affine algebras
• The analytic continuation of generalized functions with respect to a parameter
• Filter dimension of algebras and modules, a simplicity criterion of generalized weyl algebras

This page was built for publication: A Bernstein-Gabber-Joseph theorem for affine algebras