Deformations of the Lie–Poisson sphere of a compact semisimple Lie algebra

DOI10.1112/S0010437X13007689zbMath1318.53093arXiv1208.2298OpenAlexW3102282829WikidataQ115256458 ScholiaQ115256458MaRDI QIDQ2877491

Ioan Mǎrcuţ

Publication date: 22 August 2014

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.2298

zbMATH Keywords

Casimir functionsLie Poisson structure

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) General properties and structure of real Lie groups (22E15) Poisson algebras (17B63) Simple, semisimple, reductive (super)algebras (17B20) Coadjoint orbits; nilpotent varieties (17B08)

Related Items (4)

Symplectic reduction along a submanifold ⋮ Rigidity around Poisson submanifolds ⋮ Poisson manifolds of compact types (PMCT 1) ⋮ Deformations of log-symplectic structures

Cites Work

• Rigidity properties of compact Lie groups modulo maximal tori
• Smooth functions invariant under the action of a compact Lie group
• Integrability of Poisson brackets
• A classification of topologically stable Poisson structures on a compact oriented surface
• Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts

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