Particle spin from representations of the diffeomorphism group

DOI10.1007/BF01210847zbMath0536.58011OpenAlexW2061848814MaRDI QIDQ791941

David H. Sharp, Gerald A. Goldin

Publication date: 1983

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01210847

zbMATH Keywords

spin densityrigid rotationsemidirect product, local current

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Groups and algebras in quantum theory (81R99) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05)

Related Items (5)

Induced representations of nonlocally compact groups ⋮ Quantum current Lie algebra as the universal algebraic structure of the symmetries of completely integrable nonlinear dynamical systems of theoretical and mathematical physics ⋮ Algebras of symmetries of completely integrable dynamical systems ⋮ REMARKS ON THE IMPRIMITIVITY THEOREM FOR NONLOCALLY COMPACT POLISH GROUPS ⋮ Quantum-mechanical representations of the group of diffeomorphisms and local current algebra describing tightly bound composite particles

Cites Work

• Unnamed Item
• Induced representations of the group of diffeomorphisms of R³
• Quantum-mechanical representations of the group of diffeomorphisms and local current algebra describing tightly bound composite particles
• The unitary representations of the Diff R^Ngroup
• Particle statistics from induced representations of a local current group
• The unitary irreducible representations of SL¯ (3,R)
• The unitary representations of the general covariant group algebra

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