A class of Lie and Jordan algebras realized by means of the canonical commutation relations

Hans Tilgner

Annales de l'I.H.P. Physique théorique (1971)

  • Volume: 14, Issue: 2, page 179-188
  • ISSN: 0246-0211

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Tilgner, Hans. "A class of Lie and Jordan algebras realized by means of the canonical commutation relations." Annales de l'I.H.P. Physique théorique 14.2 (1971): 179-188. <http://eudml.org/doc/75693>.

@article{Tilgner1971,
author = {Tilgner, Hans},
journal = {Annales de l'I.H.P. Physique théorique},
language = {eng},
number = {2},
pages = {179-188},
publisher = {Gauthier-Villars},
title = {A class of Lie and Jordan algebras realized by means of the canonical commutation relations},
url = {http://eudml.org/doc/75693},
volume = {14},
year = {1971},
}

TY - JOUR
AU - Tilgner, Hans
TI - A class of Lie and Jordan algebras realized by means of the canonical commutation relations
JO - Annales de l'I.H.P. Physique théorique
PY - 1971
PB - Gauthier-Villars
VL - 14
IS - 2
SP - 179
EP - 188
LA - eng
UR - http://eudml.org/doc/75693
ER -

References

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  1. [1] H. Tilgner, A class of solvable Lie groups and their relation to the canonical formalism. Ann. Inst. H. Poincaré, Section A : Physique théorique, t. 13, n° 2, 1970. MR277192
  2. [2] H. Tilgner, A spectrum generating nilpotent group for the relativistic free particle. Ann. Inst. H. Poincaré, Section A : Physique théorique, t. 13, n° 2, 1970. MR286389
  3. [3] I. Segal, Quantized differential forms. Topology, t. 7, 1968, p. 147-172. Zbl0162.40602MR232790
  4. [4] J. Williamson, The exponential representation of canonical matrices. Am. J. Math., t. 61, 1939, p. 897-911. Zbl0022.10007MR220
  5. [5] M. Koecher, Jordan algebras and their applications. University of Minnesota notes, Minneapolis, 1962. Zbl0128.03101
  6. [6] M. Koecher, Gruppen und Lie-Algebren von rationalen Funktionen. Math. Z., t. 109, 1969, p. 349-392. Zbl0181.04503MR251092
  7. [7] M. Koecher, An elementary approach to bounded symmetric domains. Rice University, Houston, Texas, 1969. Zbl0217.10901MR261032
  8. [8] J. Schwinger, On angular momentum, In Quantum theory of angular momentum. Edited by L. C. Biedenharn, H. van Dam, Academic Press, New York, 1965. MR198829
  9. [9] C.P. Enz, Representation of group generators by boson or fermion operators. Application to spin perturbation. Helv. Phys. Acta, t. 39, 1966, p. 463-465. 
  10. [10] H.D. Döbner and T. Palev, Realizations of Lie algebras by rational functions of canonical variables. In « Proceedings of the IX. Internationale Universitätswochen für Kernphysik, 1970 in Schladming, Austria ». SpringerWien, to appear, 1970. 
  11. [11] O. Loos, Symmetric spaces, I : General theory. BenjaminNew York, 1969. Zbl0175.48601MR239005
  12. [12] O. Loos, Symmetric spaces, II : Compact spaces and classification. Benjamin, New York, 1969. Zbl0175.48601MR239006
  13. [13] S. Lang, Algebra. Addison-Wesley, Reading Mass, 1965. Zbl0193.34701MR197234
  14. [14] C. Chevalley, The construction and study of certain important algebras. The International Society of Japan, Tokio, 1955. Zbl0065.01901MR72867

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