Bott towers, complete integrability, and the extended character of representations

DOI10.1215/S0012-7094-94-07602-3zbMath0826.22018MaRDI QIDQ1345224

Yael Karshon, Michael D. Grossberg

Publication date: 22 November 1995

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

irreducible representationtorus actionSchubert varietiesflag varietycomplex structurehighest weightmultiplicitiesmoment mapholomorphic line bundlevirtual characterprojectivizationBott towersBott-Samelson manifoldconnected compact Lie groupDemazure's character formulas

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Semisimple Lie groups and their representations (22E46) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Homogeneous complex manifolds (32M10) Geometric quantization (53D50)

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