Colour algebras and generalized statistics
A generalization of Lie groups and algebras is formulated, which includes graded, modular and colour groups and algebras. As an example, a generalization of ggl((n)) is defined, with its associated Lie algebra and vector operators. The application to the dynamics and statistics of the quark model and similar models of composite particles is outlined.
KeywordsQuark Model Colour Group Vector Operator South AUSTRALIA Group Manifold
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- 1).H. Hopf, Ann. of Math. 42, 22 (1941).Google Scholar
- 2).See V. Rittenberg, Lecture Notes in Physics 79. (Springer, Berlin, 1975).Google Scholar
- 3).V. Rittenberg and D. Wyler, J. Math. Phys. 19, 2193 (1978).Google Scholar
- 4).M. Scheunert, J. Math. Phys. 20, 712 (1979).Google Scholar
- 5).H. S. Green, Aust. J. Phys. 28, 115 (1975); 29, 483 (1976).Google Scholar
- 6).R. Kleeman, Aspects of Modular Quantization, Univ. of Adelaide preprint (1982).Google Scholar
- 7).P. D. Jarvis and H. S. Green, J. Math. Phys. 20, 2115 (1979); also Univ. of Adelaide preprint (1982).Google Scholar
- 8).A. J. Bracken and H. S. Green, J. Math. Phys. 12, 2107 (1971).Google Scholar