Generalized atypical supertableaux for superunitary and orthosymplectic groups

Michel Gourdin

Annales de l'I.H.P. Physique théorique (1987)

  • Volume: 46, Issue: 3, page 281-297
  • ISSN: 0246-0211

How to cite

top

Gourdin, Michel. "Generalized atypical supertableaux for superunitary and orthosymplectic groups." Annales de l'I.H.P. Physique théorique 46.3 (1987): 281-297. <http://eudml.org/doc/76360>.

@article{Gourdin1987,
author = {Gourdin, Michel},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {superalgebra; generalized atypical supertableaux; superunitary and orthosymplectic groups; representations},
language = {eng},
number = {3},
pages = {281-297},
publisher = {Gauthier-Villars},
title = {Generalized atypical supertableaux for superunitary and orthosymplectic groups},
url = {http://eudml.org/doc/76360},
volume = {46},
year = {1987},
}

TY - JOUR
AU - Gourdin, Michel
TI - Generalized atypical supertableaux for superunitary and orthosymplectic groups
JO - Annales de l'I.H.P. Physique théorique
PY - 1987
PB - Gauthier-Villars
VL - 46
IS - 3
SP - 281
EP - 297
LA - eng
KW - superalgebra; generalized atypical supertableaux; superunitary and orthosymplectic groups; representations
UR - http://eudml.org/doc/76360
ER -

References

top
  1. [1] A.B. Balantekin and I. Bars, J. Math. Phys., t. 22, 1981, p. 1149-1810, t. 23, 1982, p. 1239. Zbl0469.22017
  2. [2] I. Bars, B. Morel and H. Ruegg, J. Math. Phys., t. 24, 1983, p. 2253. Zbl0547.22015MR715394
  3. [3] R.J. Farmer and P.D. Jarvis, J. Phys. A Math. Gen., t. 17, 1984, p. 23655. Zbl0548.17002MR763619
  4. [4] P.H. Dondi and P.D. Jarvis, Z. Phys. C, t. 4, 1980, p. 201 ; J. Phys. A Math. Gen., t. 14, 1981, p. 547. R.C. King, Lecture notes in Physics, t. 180, p. 41 (Springer Verlag, 1983). S. Hongzhou and H. Qizhi, Sci. Sin., t. 24, 1981, p. 914 ; Ph. Energia Fortis, t. 5, 1981, p. 646; t. 317, 1982, p. 401. J. Thierry Mieg and B. Morel, in Superspace and Supergravity, edited by S. Hawking and M. Rocek (Cambridge U. P. London, 1981). J.P. Hurni, Young Supertableaux of Lie superalgebras. Preprint Genève, UGVA–DPT, 1984-04420. 
  5. [5] F. Delduc and M. Gourdin, J. Math. Phys., t. 25, 1984, p. 1651. Zbl0574.22015MR746241
  6. [6] F. Delduc and M. Gourdin, J. Math. Phys., t. 26, 1985, p. 1865. Zbl0568.22012MR796212
  7. [7] M. Gourdin, Naturally atypical supertableaux of the superunitary group SU(3/2), Preprint, Paris, LPTHE 84/26 ; Naturally typical supertableaux of hte superunitary group SU(3/2). Preprint, Paris, LPTHE, 84/31 unpublished. 
  8. [8] M. Gourdin, J. Math. Phys., t. 27, 1986, p. 61. Zbl0596.22011MR816414
  9. [9] M. Gourdin, J. Math. Phys., t. 27, 1986, p. 2832. Zbl0615.17003MR866579
  10. [10] M. Gourdin, J. Math. Phys., t. 27, 1986, p. 1980. Zbl0603.22008MR850579
  11. [11] M. Gourdin, Classification and interpretation of the supertableaux of the orthosymplectic groups OSP (m/4). Preprint, Paris, LPTHE, 86/08 to be published in J. Math. Phys., 1987. Zbl0637.22016MR904413
  12. [12] V.G. Kac, Adv. Math., t. 26, 1977, p. 1 ; Commun. Math. Phys., t. 53, 1977, p. 31, Lecture Notes in Mathematics, vol. 676, p. 597 (Springer Verlag, 1978). Zbl0359.17009
  13. [13] L. Corwin, Y. Ne'eman and S. Rittenberg, Rev. Mod. Phys., t. 47, 1975, p. 575. A. Pais and V. Rittenberg, J. Math. Phys., t. 16, 1975, p. 2062. P.G.O. Freund and I. Kaplansky, J. Math. Phys., t. 17, 1976, p. 228. W. Nahm and V. Rittenberg, J. Math. Phys., t. 17, 1976, p. 868. M. Scheunert, W. Nahm and V. Rittenberg, J. Math. Phys., t. 17, 1976, p. 228 ; t. 17, 1976, p. 1640; t. 18, 1977, p. 146; t. 18, 1977, p. 155. M. Scheunert, The theory of Lie superalgebras, Lecture Notes in Mathematics, t. 716 (Springer Verlag1979). 
  14. [14] J. Thierry Mieg, Table of irreducible representation of the basic classical Lie superalgebras. Preprint BerkeleyUCB-PTH 85/14, LBL-19353. 
  15. [15] M. Hamermesh, Group Theory and its Applications to Physical Processes (Addison–WesleyReading MA1962). Zbl0100.36704MR136667

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.