The isotropy lattice of a lifted action

DOI10.1016/J.CRMA.2006.05.012zbMATH Open1097.53032arXivmath/0506014OpenAlexW2022170129MaRDI QIDQ2499725

Miguel Rodríguez-Olmos

Publication date: 14 August 2006

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Abstract: We obtain an algorithmic construction of the isotropy lattice for a lifted action of a Lie group $G$ on $TM$ and $T^{*}M$ based only on the knowledge of $G$ and its action on $M$. Some applications to symplectic geometry are also shown.

Full work available at URL: https://arxiv.org/abs/math/0506014

zbMATH Keywords

symplectic geometrytangent bundle

Mathematics Subject Classification ID

Homogeneous spaces (22F30) Differential geometry of homogeneous manifolds (53C30) Symplectic manifolds (general theory) (53D05)

Cites Work

• On the existence of slices for actions of non-compact Lie groups
• Stratified symplectic spaces and reduction
• Momentum maps and Hamiltonian reduction
• Lectures on Mechanics
• Lie groups

Related Items (2)

Invariant generators for generalized distributions ⋮ Singular symplectic cotangent bundle reduction of gauge field theory

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