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Indecomposable representations for para‐Bose algebra
1.T. F. Jordan, N. Mukunda, and S. V. Pepper, J. Math. Phys. 4, 1089 (1963);
1.L. O. Raifeartaigh and C. Ryan, Proc. R. Ir. Acad. Sect. A 62, 93 (1963).
2.J. K. Sharma, C. L. Mehta, and E. C. G. Sudarshan, J. Math. Phys. 19, 2089 (1978).
3.S. N. Biswas and T. S. Santhanam, J. Aust. Math. Soc. B 22, 210 (1980).
4.B. Gruber and A. U. Klimyk, J. Math. Phys. 16, 1816 (1975).
5.H. S. Green, Phys. Rev. 90, 270 (1953).
6.For a general discussion see S. Kamefuchi, Matscience Report 24 (1963), Madras, India.
7.N. Jacobson, Lie Algebras (Interscience, New York, 1962);
7.J. Dixmier, Algebras Enveloppantes (Gauthiers Villars, Paris, 1974). Collection “Cabiers Scientifiques”.
8.C. Ryan and E. C. G. Sudarshan, Nucl. Phys. 47, 207 (1963). Some finite‐dimensional nonunitary representations of para‐Bose algebra have recently been obtained by Miss S. N. Uma (unpublished) using Weyl’s trick on the corresponding ones of para‐Fermi algebra.
9.B. Gruber, A. U. Klimyk, and Yu. F. Smimov, Nuovo Cim. (in press).
10.Professor E. C. G. Sudarshan has also found some indecomposable representations for para‐Bose oscillators (unpublished). We thank him for his correspondence.
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