Matrix canonical realizations of the Lie algebra o ( m , n ) . I. Basic formulæ and classification

M. Havlíček; P. Exner

Annales de l'I.H.P. Physique théorique (1975)

  • Volume: 23, Issue: 4, page 335-347
  • ISSN: 0246-0211

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Havlíček, M., and Exner, P.. "Matrix canonical realizations of the Lie algebra $o(m, n)$. I. Basic formulæ and classification." Annales de l'I.H.P. Physique théorique 23.4 (1975): 335-347. <http://eudml.org/doc/75879>.

@article{Havlíček1975,
author = {Havlíček, M., Exner, P.},
journal = {Annales de l'I.H.P. Physique théorique},
language = {eng},
number = {4},
pages = {335-347},
publisher = {Gauthier-Villars},
title = {Matrix canonical realizations of the Lie algebra $o(m, n)$. I. Basic formulæ and classification},
url = {http://eudml.org/doc/75879},
volume = {23},
year = {1975},
}

TY - JOUR
AU - Havlíček, M.
AU - Exner, P.
TI - Matrix canonical realizations of the Lie algebra $o(m, n)$. I. Basic formulæ and classification
JO - Annales de l'I.H.P. Physique théorique
PY - 1975
PB - Gauthier-Villars
VL - 23
IS - 4
SP - 335
EP - 347
LA - eng
UR - http://eudml.org/doc/75879
ER -

References

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  1. [1] M. Havlicek and P. Exner, On the minimal canonical realizations of the Lie algebra OC(n). Ann. Inst. H. Poincaré, t. 23, Sect. A, n° 4, 1975, p. 311. Zbl0325.17001
  2. [2] A. Joseph, Commun. math. Phys., t. 36, 1974, p. 325. Zbl0285.17007MR342049
  3. [3] J.L. Richard, Ann. Inst. H. Poincaré, t. 8, Sect. A, n° 3, 1968, p. 301. Zbl0161.23705
  4. [4] A. Joseph, J. Math. Phys., t. 13, 1972, p. 351. Zbl0238.17004
  5. [5] N. Jacobson, Lie algebras, Mir, Moskva, 1964 (in Russian). Zbl0121.27601MR178096
  6. [6] D.L. Zhelobenko, Kompaktnyje gruppy Li i ich predstavlenija. Nauka, Moskva, 1970. Zbl0228.22013
  7. [7] N. Jacobson, The theory of rings, Gos. izd. in. lit., Moskva, 1947 (in Russian). Zbl0029.10601
  8. [8] E. Nelson, Ann. Math., t. 70, n° 3, 1959, p. 572. J. Simon, Commun. math. Phys., t. 28, 1972, p. 39. M. Havlicek, Remark on the integrability of some representations of the semi–simple Lie algebras. Rep. Math. Phys., to appear. Zbl0091.10704MR107176
  9. [9] H.D. Doebner and O. Melsheimer, Nuovo Cim., Ser. 10, t. 49, 1967, p. 73. Zbl0163.22504MR213110

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