Picard-Lefschetz theory for the coadjoint quotient of a semisimple Lie algebra

DOI10.1007/BF01884311zbMath0861.22008WikidataQ115393100 ScholiaQ115393100MaRDI QIDQ1911563

Wulf Rossmann

Publication date: 29 April 1997

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

Full work available at URL: https://eudml.org/doc/144310

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)

Related Items

On the wavefront sets associated with theta representations, A link invariant from the symplectic geometry of nilpotent slices, Picard-Lefschetz theory and characters of a semisimple Lie group, Link homology theories from symplectic geometry, Small unitary representations of the double cover of $\operatorname{SL}(m)$, A LIMIT FORMULA FOR EVEN NILPOTENT ORBITS, Homology of generalized Steinberg varieties and Weyl group invariants, Limit formulas for groups with one conjugacy class of Cartan subgroups, Constant term in Harish-Chandra's limit formula, Characteristic cycles of highest weight Harish-Chandra modules and the Weyl group action on the conormal variety, Local theta lifting of generalized Whittaker models associated to nilpotent orbits, A topological approach to induction theorems in Springer theory, Invariant measures on nilpotent orbits associated with holomorphic discrete series, Double cells for unitary groups

Cites Work

• Unnamed Item
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• Remarks on real nilpotent orbits of a symmetric pair
• On Joseph's construction of Weyl group representations
• The Bruhat order on symmetric varieties
• Simple singularities and simple algebraic groups
• Classes unipotentes et sous-groupes de Borel
• Primitive ideals and orbital integrals in complex classical groups
• Invariant eigendistributions on a semisimple Lie algebra and homology classes on the conormal variety. I: An integral formula
• On the desingularization of the unipotent variety
• Young diagrams, Schur functions, the Gale-Ryser theorem and a conjecture or Snapper
• Trigonometric sums, Green functions of finite groups and representations of Weyl groups
• A construction of representations of Weyl groups
• A specialization theorem for certain Weyl group representations and an application to the Green polynomials of unitary groups
• The orbits of affine symmetric spaces under the action of minimal parabolic subgroups
• Matsuki correspondence for sheaves
• Über die Auflösung gewisser Singularitäten von holomorphen Abbildungen
• Monodromy of isolated singularities of hypersurfaces
• Homology theory for locally compact spaces
• Homology of the Zero-Set of a Nilpotent Vector Field on a Flag Manifold
• The action of a real semisimple group on a complex flag manifold. I: Orbit structure and holomorphic arc components
• Singular Points of Complex Hypersurfaces. (AM-61)
• Ensembles et morphismes stratifiés
• Orbits and Representations Associated with Symmetric Spaces