The Poisson geometry of SU(1,1)

DOI10.1063/1.3461878zbMath1309.53066arXiv0911.3612OpenAlexW3105386330MaRDI QIDQ5245790

McKenzie Lamb, Philip A. Foth

Publication date: 15 April 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.3612

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Poisson manifolds; Poisson groupoids and algebroids (53D17) Poisson algebras (17B63)

Related Items (1)

A note on Iwasawa-type decomposition

Cites Work

• Ginzburg-Weinstein via Gelfand-Zeitlin
• Polygons in Minkowski space and the Gelfand-Tsetlin method for pseudo-unitary groups
• The Gelfand-Cetlin system and quantization of the complex flag manifolds
• Poisson Lie groups, dressing transformations, and Bruhat decompositions
• Compositions of quadratic forms
• Lie-Poisson Structure on Some Poisson Lie Groups
• A convexity theorem for Poisson actions of compact Lie groups
• Poisson structures on complex flag manifolds associated with real forms
• Random walks on symmetric spaces and inequalities for matrix spectra

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