Associated variety, Kostant-Sekiguchi correspondence, and locally free \(U(n)\)-action on Harish-Chandra modules

DOI10.2969/jmsj/05110129zbMath0931.22008OpenAlexW2088990114MaRDI QIDQ1298051

Akihiko Gyoja, Hiroshi Yamashita

Publication date: 23 February 2000

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

Full work available at URL: https://doi.org/10.2969/jmsj/05110129

zbMATH Keywords

complex semisimple Lie groupnilpotent orbitsassociated varietylocally free actionirreducible Harish-Chandra \((\mathfrak g\),\(\mathfrak k)\)-module

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)