Rangarajan, Govindan ; Neri, Filippo (1992) Canonical representations of sp(2n,R) Journal of Mathematical Physics, 33 (4). pp. 1247-1251. ISSN 0022-2488
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Official URL: http://link.aip.org/link/doi/10.1063/1.529702
Related URL: http://dx.doi.org/10.1063/1.529702
Abstract
In this paper a rather unconventional real basis for the real symplectic algebra sp(2n,R) is studied. This basis is valid for representations carried by homogeneous polynomials of the 2n phase-space variables. The utility of this basis for practical computations is demonstrated by giving a simple derivation of the second- and fourth-order indices of irreducible representations of sp(2n,R).
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to American Institute of Physics. |
| Keywords: | Algebras; Group Theory; Irreducible Representations; Phase Space; Polynomials; Classical Mechanics; Commutation Relations; Mathematical Operators; Lie Groups |
| ID Code: | 73190 |
| Deposited On: | 03 Dec 2011 06:38 |
| Last Modified: | 03 Dec 2011 06:38 |
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