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On the minimal canonical realizations of the Lie algebra \(O_c(n)\). (English) Zbl 0325.17001

MSC:
17B10 Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
22E70 Applications of Lie groups to the sciences; explicit representations
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References:
[1] H.D. Doebner and B. Pirrung, Spectrum-generating algebras and canonical realizations. Preprint IC/72/77.
[2] W. Miller, Jr., On Lie algebras and some special functions of mathematical physics. AMS Mem. no. 50, Providence, 1964. Zbl0132.29602 MR173031 · Zbl 0132.29602
[3] T.D. Palev, Nuovo Cim., t. 62, 1969, p. 585.
[4] A. Simoni and F. Zaccaria, Nuovo Cim., t. 59, A., 1969, p. 280. Zbl0197.26401 MR261882 · Zbl 0197.26401 · doi:10.1007/BF02754988
[5] A. Joseph, J. Math. Phys., t. 13, 1972, p. 351. Zbl0238.17004 · Zbl 0238.17004 · doi:10.1063/1.1665983
[6] J.L. Richard, Ann. Inst. H. Poincaré, t. 8, Sec. A., n^\circ 3, 1968, p. 301. Zbl0161.23705 · Zbl 0161.23705 · numdam:AIHPA_1968__8_3_301_0 · eudml:75594
[7] N. Jacobson, Lie algebras, Mir, Moskva, 1964 (in Russian). Zbl0121.27601 MR178096 · Zbl 0121.27601
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[9] D.L. Zhelobenko, Kompaktnyje gruppy Li i ich predstavlenija, Nauka, Moskva, 1970. Zbl0228.22013 · Zbl 0228.22013
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