Formal extension and quotients of the invariant holonomic system

DOI10.1016/j.jpaa.2006.11.010zbMath1184.17006OpenAlexW2094307546MaRDI QIDQ886258

Nikolaos Papalexiou

Publication date: 26 June 2007

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2006.11.010

zbMATH Keywords

Fourier transformCartan subalgebrasemisimple Lie algebracharacteristic variety of simple quotientsformal extension of invariant holonomic system

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Sheaves of differential operators and their modules, (D)-modules (32C38) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Cites Work

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• The invariant holonomic system on a semisimple Lie algebra
• Über Schichten halbeinfacher Lie-Algebren
• Equivariant \(D\)-modules attached to nilpotent orbits in a semisimple Lie algebra
• On the orbit method and the homomorphism of Harish-Chandra
• Invariant Differential Operators on a Reductive Lie Algebra and Weyl Group Representations
• Semi-simplicity of invariant holonomic systems on a reductive Lie algebra

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