On the Kostant Convexity Theorem

DOI10.2307/2159363zbMath0761.22009OpenAlexW4251133142MaRDI QIDQ4018824

François Ziegler

Publication date: 16 January 1993

Full work available at URL: https://doi.org/10.2307/2159363

zbMATH Keywords

convex polytopecoadjoint orbitweight latticeKostant's convexity theoremintegral orbitWeyl orbit

Mathematics Subject Classification ID

Lie algebras of Lie groups (22E60) General properties and structure of real Lie groups (22E15) Geometric quantization (53D50)

Related Items

A new proof of Harish-Chandra's integral formula, An infinite dimensional version of the Kostant convexity theorem.

Cites Work

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• Unitary structure in representations of infinite-dimensional groups and a convexity theorem
• Projections of orbits and asymptotic behavior of multiplicities for compact connected Lie groups
• Convexity properties of the moment mapping
• Geometric quantization and multiplicities of group representations
• The topology of torus actions on symplectic manifolds. Transl. from the French by the author
• Convexity and Commuting Hamiltonians
• On convexity, the Weyl group and the Iwasawa decomposition