Adjoint and coadjoint orbits of the Poincaré group

DOI10.1007/s10440-006-9031-8zbMath1161.22013arXivmath/0305442OpenAlexW3099877532MaRDI QIDQ2498373

Richard H. Cushman, Wilberd van der Kallen

Publication date: 16 August 2006

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0305442

zbMATH Keywords

coadjoint orbitsPoincaré groupco-orbitsaffine orthogonal groups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Structure and representation of the Lorentz group (22E43)

Related Items (4)

Adjoint orbits of the odd real symplectic group ⋮ A bijection between the adjoint and coadjoint orbits of a semidirect product ⋮ Skew-symmetric endomorphisms in M1,n  : a unified canonical form with applications to conformal geometry ⋮ A new interpretation for the mass of a classical relativistic particle.

Cites Work

• Unnamed Item
• Conjugacy classes in linear groups
• Representations of a semi-direct product by quantization
• Classical Lorentz Invariant Particles
• Group Theoretical Discussion of Relativistic Wave Equations

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