Dirac Lie groups, Dirac homogeneous spaces and the theorem of Drinfeld

DOI10.1512/iumj.2011.60.4421zbMath1242.53103arXiv0910.1538OpenAlexW2963534402WikidataQ115237103 ScholiaQ115237103MaRDI QIDQ2884653

Madeleine Jotz Lean

Publication date: 30 May 2012

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.1538

zbMATH Keywords

Dirac structuresLie bialgebraPoisson Lie groupsPoisson homogeneous spacesDrinfeld theorem

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) General properties and structure of real Lie groups (22E15)

Related Items (8)

Homogeneous spaces of Dirac groupoids ⋮ Dirac actions and Lu's Lie algebroid ⋮ Dirac structures, nonholonomic systems and reduction ⋮ Poisson geometry from a Dirac perspective ⋮ Foliated groupoids and infinitesimal ideal systems ⋮ Pseudo-Dirac structures ⋮ Integrability of quotients in Poisson and Dirac geometry ⋮ \(\mathcal{VB}\)-algebroid morphisms and representations up to homotopy

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