On the Relation Between Yangians, Affine Hecke Algebras and Long-Range Interacting Models
Bernard, Denis
Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 47 (1995), p. 77-91 / Harvested from Numdam
Publié le : 1995-01-01
@article{RCP25_1995__47__77_0,
     author = {Bernard, Denis},
     title = {On the Relation Between Yangians, Affine Hecke Algebras and Long-Range Interacting Models},
     journal = {Les rencontres physiciens-math\'ematiciens de Strasbourg -RCP25},
     volume = {47},
     year = {1995},
     pages = {77-91},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RCP25_1995__47__77_0}
}
Bernard, Denis. On the Relation Between Yangians, Affine Hecke Algebras and Long-Range Interacting Models. Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 47 (1995) pp. 77-91. http://gdmltest.u-ga.fr/item/RCP25_1995__47__77_0/

[1] F. Calogero, J. Math. Phys. 10 (1969) 2191, 2197;

B. Sutherland, J. Math. Phys. 12 (1971) 251.

[2] F.D.M. Haldane, Phys. Rev. Lett. 60 (1988) 635 ; | MR 955232

B. S. Shastry, Phys. Rev. Lett. 60 (1988) 639.

[3] See, e.g., F.D.M. Haldane, in the proceedings of the 16th Taniguchi Symposium, eds. N. Kawakimi and A. Okiji, Springer Verlag 1994.

[4] V. I. Inozemtsev, J. Stat. Phys. 59 (1990) 1143. | MR 1063194

[5] F.D.M. Haldane, Z. Ha, J. Talstra, D. Bernard and V. Pasquier, Phys. Rev. Lett. 69 (1992) 2021. | MR 1182531 | Zbl 0968.82510

[6] F.D.M. Haldane, Phys. Rev. Lett. 67 (1991) 937. | MR 1121460 | Zbl 0990.81534

[7] L. D. Faddeev abd L. Takhtajan, Phys. Lett. 85A (1981) 375. | MR 632380

[8] D. Bernard, D. Serban and V. Pasquier, preprint hep-th/9404050

P. Bouwknegt, A. Ludwig and K. Schoutens, preprint hep-th/9406020.

[9] L. D. Faddeev, Integrable models in 1+1 dimensional quantum field theory, Les Houches, Elsevier Science Publishers (1994) | MR 1262833

[10] V. G. Drinfel'D, Funct. Anal. Appl. 20 (1988) 56. | MR 936697

[11] R. J. Baxter, Exactly solved models in statistical mechanic, New York Academic, (1982). | MR 690578 | Zbl 0723.60120

[12] E. K. Sklyanin, in "Integrable and superintegrable systems", 1990, ed. B. Kupershmidt, World Scientific. | MR 1091256 | Zbl 0943.00022

[13] D. Bernard, M. Gaudin, F.D.M. Haldane and V. Pasquier, J. Phys. A 26 (1993) 5219. | MR 1248713 | Zbl 0808.60086

[14] I. Cherednik, Invent. Math. 106 (1991) 411. | MR 1128220 | Zbl 0725.20012

[15] A. Polykronakos, Phys. Rev. Lett. 69 (1992) 703. | MR 1174716

[16] K. Hikami and M. Wadati, J. Phys. Soc. Jpn 62 (1993) 4203. | MR 1262261 | Zbl 0972.82506

[17] D. Bernard, K. Hikami and M. Wadati, in "New developments of integrable systems and long-ranged interaction models", ed. M-L Ge and Y-S Wu, 1995, World Scientific. | Zbl 0862.58030