Homogeneous Poisson structures on loop spaces of symmetric spaces

DOI10.3842/SIGMA.2008.069zbMath1167.22014arXiv0801.3277MaRDI QIDQ1018737

Doug Pickrell

Publication date: 21 May 2009

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.3277

zbMATH Keywords

Poisson structuresymmetric spacesymplectic reductionloop spaceHamiltonian actionsymplectic leaf

Mathematics Subject Classification ID

Loop groups and related constructions, group-theoretic treatment (22E67) Poisson manifolds; Poisson groupoids and algebroids (53D17) Momentum maps; symplectic reduction (53D20)

Related Items (3)

Noncompact groups of Hermitian symmetric type and factorization ⋮ Loops in \(SU(2)\) and factorization ⋮ Loops in \(\mathrm{SU}(2)\), Riemann surfaces, and factorization. I.

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