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

Rangarajan, Govindan (1997) Representations of Sp(6,R) and SU(3) carried by homogeneous polynomials Journal of Mathematical Physics, 38 (5). pp. 2710-2719. ISSN 0022-2488

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Official URL: http://link.aip.org/link/doi/10.1063/1.531982

Related URL: http://dx.doi.org/10.1063/1.531982

Abstract

In this paper, we study representations of Sp(6,R) and SU(3) carried by homogeneous polynomials of phase-space variables in six dimensions. These representations are very important for the study of symplectic integration techniques for Hamiltonian systems. We obtain irreducible representations for Sp(6,R) and SU(3) and explicit expressions for states within SU(3) representations in terms of phase-space variables.

Item Type:Article
Source:Copyright of this article belongs to American Institute of Physics.
Keywords:SU(3) Theory; Lie Groups; SU-3 Groups; Irreducible Representations; Polynomials; Phase Space; Hamiltonians
ID Code:73195
Deposited On:02 Dec 2011 09:01
Last Modified:02 Dec 2011 09:01

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