The symplecton: A prototype for semi-simple graded Lie algebras |
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| Authors: | L C Biedenharn J D Louck |
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| Institution: | (1) Theoretical Division, Los Alamos Scientific Laboratory, University of California, 87545 Los Alamos, New Mexico, USA |
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| Abstract: | An elementary, physically motivated, example of a semi-simple graded Lie algebra (SSGLA) is shown to be given by the  symplecton realization of angular momentum an associative, involutive, inner-product algebra whose characteristic polynomials realize the symplectic group Sp(2)]. The Pais-Rittenberg result shows that the n-component symplecton realizes the most general, SSGLA, Sp(2n).Work supported by the Energy Research and Development AdministrationSummer visitor, Group T-7. |
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