Bigèbres de Lie, doubles et carrés

R. Aminou; Y. Kosmann-Schwarzbach

Annales de l'I.H.P. Physique théorique (1988)

  • Volume: 49, Issue: 4, page 461-478
  • ISSN: 0246-0211

How to cite

top

Aminou, R., and Kosmann-Schwarzbach, Y.. "Bigèbres de Lie, doubles et carrés." Annales de l'I.H.P. Physique théorique 49.4 (1988): 461-478. <http://eudml.org/doc/76432>.

@article{Aminou1988,
author = {Aminou, R., Kosmann-Schwarzbach, Y.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {Drinfeld bigebras; Yang-Baxter equation; double Lie algebra; bilinear invariant two form; Lie-Semenov algebra; quasitriangular Drinfeld bigebra; square},
language = {fre},
number = {4},
pages = {461-478},
publisher = {Gauthier-Villars},
title = {Bigèbres de Lie, doubles et carrés},
url = {http://eudml.org/doc/76432},
volume = {49},
year = {1988},
}

TY - JOUR
AU - Aminou, R.
AU - Kosmann-Schwarzbach, Y.
TI - Bigèbres de Lie, doubles et carrés
JO - Annales de l'I.H.P. Physique théorique
PY - 1988
PB - Gauthier-Villars
VL - 49
IS - 4
SP - 461
EP - 478
LA - fre
KW - Drinfeld bigebras; Yang-Baxter equation; double Lie algebra; bilinear invariant two form; Lie-Semenov algebra; quasitriangular Drinfeld bigebra; square
UR - http://eudml.org/doc/76432
ER -

References

top
  1. [1] R. Aminou, Bigèbres de Lie, structures de Poisson et variantes de l'équation de Yang–Baxter. Publ. IRMA, Université de Lille I, t. 9, n° 3, 1987. 
  2. [2] V.G. Drinfeld, Hamiltonian structures on Lie groups, Lie bialgebras and the geometric meaning of the classical Yang-Baxter equations. Soviet Math. Dokl., t. 27, n° 1, 1982, p. 68-71. Zbl0526.58017MR688240
  3. [3] V.G. Drinfeld, Quantum groups. Proceedings Int. Congress Math. (Berkeley, 1986), Amer. Math. Society, 1988. Zbl0617.16004MR934283
  4. [4] Y. Kosmann-Schwarzbach et F. Magri, Poisson-Lie groups and complete integrability. I. Drinfeld bigebras, dual extensions and their canonical representations. Annales Inst. Henri Poincaré, Série A (Physique théorique), t. 49, n° 4, 1988, p. 433-460. Zbl0667.16005MR988946
  5. [5] M.A. Semenov-TIAN-SHANSKY, What is a classical r-matrix? Funct. Anal. Appl., t. 17, n° 4, 1983, p. 259-272. Zbl0535.58031
  6. [6] M.A. Semanov-Tian-Sansky, Dressing transformations and Poisson group actions. Publ. RIMS (Kyoto University), t. 21, 1985, p. 1237-1260. Zbl0674.58038MR842417
  7. [7] M.A. Semenov-Tian-Shansky, Classical r-matrices, Lax equations, Poisson-Lie groups and dressing transformations, in Field theory, quantum gravity and strings, II, H. J. de Vega and N. Sanchez, eds., Lecture notes in physics, Springer Verlag, Berlin, t. 280, 1987, p. 174-214. Zbl0666.22010MR905898

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.