Representations of Sp(6,R) and SU(3) carried by homogeneous polynomials

DOI10.1063/1.531982zbMath0878.58031OpenAlexW2082950965MaRDI QIDQ4345117

Govindan Rangarajan

Publication date: 17 July 1997

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

Full work available at URL: https://doi.org/10.1063/1.531982

zbMATH Keywords

Hamiltonian systemssymplectic integrationhomogeneous polynomialsphase-space variablesrepresentations of \(Sp(6,\mathbb{R})\)representations of \(SU(3)\)

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Applications of linear algebraic groups to the sciences (20G45)

Cites Work

• Symplectic completion of symplectic jets
• A Set of Harmonic Functions for the Group SU(3)
• Relativistic Three-Particle SU3 States

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