\(K\)-orbits on the flag variety and strongly regular nilpotent matrices

DOI10.1007/s00029-011-0073-zzbMath1258.14056arXiv1105.1726OpenAlexW1978647990MaRDI QIDQ411331

Sam Evens, Mark Colarusso

Publication date: 4 April 2012

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.1726

zbMATH Keywords

flag varietynilpotent matricessymmetric subgroupGelfand-Zeitlin integrable system

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Grassmannians, Schubert varieties, flag manifolds (14M15) Poisson manifolds; Poisson groupoids and algebroids (53D17) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

Related Items (1)

Eigenvalue coincidences and \(K\)-orbits. I

Cites Work

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• The orbit structure of the Gelfand-Zeitlin group on \(n\times n\) matrices
• Localization and standard modules for real semisimple Lie groups. I: The duality theorem
• On algebraic integrability of Gelfand-Zeitlin fields
• On Whittaker vectors and representation theory
• Irreducible characters of semisimple Lie groups. III: Proof of Kazhdan-Lusztig conjecture in the integral case
• Strongly nilpotent matrices and Gelfand-Zetlin modules.
• Matrices with prescribed Ritz values
• Characteristic Cycles of Holomorphic Discrete Series
• Lie Group Representations on Polynomial Rings

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