A bijection between the adjoint and coadjoint orbits of a semidirect product

DOI10.1016/J.DIFGEO.2018.12.005zbMath1459.17012arXiv1806.08406OpenAlexW2907774938WikidataQ115355011 ScholiaQ115355011MaRDI QIDQ1733261

Philip Arathoon

Publication date: 21 March 2019

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.08406

zbMATH Keywords

coadjoint orbitsPoincaré groupadjoint orbits

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Coadjoint orbits; nilpotent varieties (17B08)

Related Items (1)

Manifestly covariant worldline actions from coadjoint orbits. I: Generalities and vectorial descriptions

Cites Work

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• Adjoint orbits of the odd real symplectic group
• Hamiltonian reduction by stages
• Conjugacy classes in linear groups
• Semidirect products and the Pukanszky condition
• A new interpretation for the mass of a classical relativistic particle.
• Adjoint and coadjoint orbits of the Poincaré group
• Structure of the coadjoint orbits of Lie groups
• Semidirect Products and Reduction in Mechanics
• Representations of a semi-direct product by quantization

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