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Joseph, A.

Minimal realizations and spectrum generating algebras. (English) Zbl 0285.17007

Commun. Math. Phys. 36, 325-338 (1974).
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Cited in 40 Documents

MSC:

17B35 Universal enveloping (super)algebras
17B10 Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
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\textit{A. Joseph}, Commun. Math. Phys. 36, 325--338 (1974; Zbl 0285.17007)
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References:

[1] Ne’eman, Y.: Algebraic theory of particle physics, Chapter 10. New York: W. A. Benjamin 1967
[2] Barut, A. O.: Application of the dynamical group theory to the structure of the hadrons. Lectures in theoretical physics (Ed. Barut, A. O., Brittin, W. E.), Vol. 10B, pp. 377–426. New York: Gordon and Breach 1967
[3] Gelfand, I. M., Kirillov, A. A.: Inst. Hautes Etudes Sci. Publ. Math.31, 5 (1966) · Zbl 0144.02104
[4] Jacobson, N.: Lie algebras. New York: Interscience 1962 · Zbl 0121.27504
[5] Joseph, A.: To appear
[6] Joseph, A.: Ann. Inst. H. Poincaré17, 325 (1972)
[7] Dixmier, J.: Algèbres enveloppantes, Chapter 3. Paris: Gauthier-Villars, in press · Zbl 0422.17003
[8] Simoni, A., Zaccaria, F.: Nuovo Cimento59A, 280 (1969)
[9] Mukunda, N.: J. Math. Phys.8, 1069 (1967) · Zbl 0171.23801
[10] Bourbaki, N.: Groupes et algèbres de Lie, Chapter 4–6. Paris: Hermann 1968 · Zbl 0186.33001
[11] Joseph, A.: A generalization of the Gelfand-Kirillov conjecture. Tel-Aviv University Preprint 385 (1973) · Zbl 0378.17005
[12] Serre, J.-P.: Algèbres de Lie semi-simples complexes. Chapter VI, Theorem 4. New York: W. A. Benjamin 1966 · Zbl 0144.02105
[13] Conze, N.: Bull. Math. Soc. France, in press
[14] Coleman, S., Wess, J., Zumino, B.: Phys. Rev.177, 2239 (1969)
[15] Joseph, A., Solomon, A. I.: J. Math. Phys.11, 748 (1970) · Zbl 0189.55201
[16] Ndili, F. N.: Lett. Nuovo Cimento1, 13 (1971)
[17] Kleinert, H.: Group dynamics of the hydrogen atom. Lectures in theoretical physics (Ed. Barut, A. O., Brittin, W. E.), Vol. 10B, pp. 437–446. New York: Gordon and Breach 1967
[18] Joseph, A.: Proc. Camb. Phil. Soc., in press
[19] Goshen, S., Lipkin, H. J.: Ann. Phys.6, 301 (1959) · Zbl 0086.22301
[20] Lipkin, H. J.: Lie groups for pedestrians, p. 69. Amsterdam: North Holland Publ. Co. 1965 · Zbl 0133.23502
[21] Conze, N., Dixmier, J.: Bull. Sci. Math., 2 série96, 339 (1972)
[22] Helgason, N.: Differential geometry and symmetric spaces. Chapter III, Sections 4, 5. New York: Academic Press 1962 · Zbl 0111.18101
[23] Tits, J.: Inst. Hautes Etudes Sci. Publ. mathématiques31, 21 (1966) · Zbl 0145.25804
[24] Bander, M., Itzykson, C.: Rev. Mod. Phys.38, 330 (1966)
[25] Joseph, A.: J. Math. Phys.13, 351, Theorem 4.4 (1972) · Zbl 0238.17004
[26] Dashen, R., Gell-Mann, M.: Phys. Letters17, 142 (1965)
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