Dirac structures and Poisson reductions on Poisson groupoids

DOI10.1016/S0034-4877(04)90003-1zbMath1066.53067MaRDI QIDQ1433687

De Shou Zhong

Publication date: 1 July 2004

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Poisson reduction

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Poisson algebras (17B63)

Cites Work

• Algebraic constructions in the category of Lie algebroids
• Reduction of Poisson manifolds
• Coisotropic calculus and Poisson groupoids
• Dirac structures and Poisson homogeneous spaces
• Lectures on the geometry of Poisson manifolds
• Remarks on the definition of a Courant algebroid
• Exact Lie bialgebroids and Poisson groupoids
• Dirac Manifolds
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