Bigèbres de Lie, doubles et carrés

 Access to full text

 Full (PDF)

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

1. Y. Kosmann-Schwarzbach, F. Magri, Poisson-Lie groups and complete integrability. I. Drinfeld bigebras, dual extensions and their canonical representations
2. Edwin Beggs, Shahn Majid, Matched pairs of topological Lie algebras corresponding to Lie bialgebra structures on $diff\left(S^1\right)$ and $diff\left(𝐑\right)$