Picard-Lefschetz theory and characters of a semisimple Lie group

DOI10.1007/BF01884312zbMath0851.22013WikidataQ115393097 ScholiaQ115393097MaRDI QIDQ1911564

Wulf Rossmann

Publication date: 11 November 1996

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/144311

zbMATH Keywords

Fourier transformWeyl groupLie grouphomologycoadjoint orbitsCartan subalgebrasemisimple Lie algebrawave front setPicard-Lefschetz theorymonodromy representation

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

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Cites Work

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• Differential operators on homogeneous spaces. I: Irreducibility of the associated variety for annihilators of induced modules
• Picard-Lefschetz theory for the coadjoint quotient of a semisimple Lie algebra
• Projection d'orbites, formule de Kirillov et formule de Blattner
• Intégrales asymptotiques et monodromie
• Gelfand-Kirillov Dimension for the Annihilators of Simple Quotients of Verma Modules

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