Linearization of Poisson Lie group structures

DOI10.4310/JSG.2016.v14.n1.a9zbMath1357.53096arXiv1312.1223OpenAlexW2962811399WikidataQ115163733 ScholiaQ115163733MaRDI QIDQ308008

Eckhard Meinrenken, Anton Yu. Alekseev

Publication date: 5 September 2016

Published in: The Journal of Symplectic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.1223

zbMATH Keywords

linearizationcoboundary Lie bialgebraPoisson Lie groupsymplectic groupoid

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Lie groups (22E99)

Related Items (8)

Rigidity of infinitesimal momentum maps ⋮ Linearization of Poisson groupoids ⋮ LINEARIZATION OF POISSON–LIE STRUCTURES ON THE 2D EUCLIDEAN AND (1 + 1) POINCARÉ GROUPS ⋮ An explicit isomorphism between quantum and classical \(\mathfrak{sl}_n \) ⋮ Poisson geometry from a Dirac perspective ⋮ The normal form theorem around Poisson transversals ⋮ Splitting theorems for Poisson and related structures ⋮ Stokes phenomenon, Gelfand-Zeitlin systems and relative Ginzburg-Weinstein linearization

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