On the Relation Between Yangians, Affine Hecke Algebras and Long-Range Interacting Models

Denis Bernard

Recherche Coopérative sur Programme n°25 (1995)

  • Volume: 47, page 77-91

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Bernard, Denis. "On the Relation Between Yangians, Affine Hecke Algebras and Long-Range Interacting Models." Recherche Coopérative sur Programme n°25 47 (1995): 77-91. <http://eudml.org/doc/274968>.

@article{Bernard1995,
author = {Bernard, Denis},
journal = {Recherche Coopérative sur Programme n°25},
language = {eng},
pages = {77-91},
publisher = {Institut de Recherche Mathématique Avancée - Université Louis Pasteur},
title = {On the Relation Between Yangians, Affine Hecke Algebras and Long-Range Interacting Models},
url = {http://eudml.org/doc/274968},
volume = {47},
year = {1995},
}

TY - JOUR
AU - Bernard, Denis
TI - On the Relation Between Yangians, Affine Hecke Algebras and Long-Range Interacting Models
JO - Recherche Coopérative sur Programme n°25
PY - 1995
PB - Institut de Recherche Mathématique Avancée - Université Louis Pasteur
VL - 47
SP - 77
EP - 91
LA - eng
UR - http://eudml.org/doc/274968
ER -

References

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  1. [1] F. Calogero, J. Math. Phys.10 (1969) 2191, 2197; 
  2. B. Sutherland, J. Math. Phys.12 (1971) 251. 
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  9. [7] L. D. Faddeev abd L. Takhtajan, Phys. Lett.85A (1981) 375. MR632380
  10. [8] D. Bernard, D. Serban and V. Pasquier, preprint hep-th/9404050 
  11. P. Bouwknegt, A. Ludwig and K. Schoutens, preprint hep-th/9406020. 
  12. [9] L. D. Faddeev, Integrable models in 1+1 dimensional quantum field theory, Les Houches, Elsevier Science Publishers (1994) MR1262833
  13. [10] V. G. Drinfel'd, Funct. Anal. Appl.20 (1988) 56. MR936697
  14. [11] R. J. Baxter, Exactly solved models in statistical mechanic, New YorkAcademic, (1982). Zbl0723.60120MR690578
  15. [12] E. K. Sklyanin, in "Integrable and superintegrable systems", 1990, ed. B. Kupershmidt, World Scientific. Zbl0943.00022MR1091256
  16. [13] D. Bernard, M. Gaudin, F.D.M. Haldane and V. Pasquier, J. Phys. A 26 (1993) 5219. Zbl0808.60086MR1248713
  17. [14] I. Cherednik, Invent. Math.106 (1991) 411. Zbl0725.20012MR1128220
  18. [15] A. Polykronakos, Phys. Rev. Lett.69 (1992) 703. MR1174716
  19. [16] K. Hikami and M. Wadati, J. Phys. Soc. Jpn62 (1993) 4203. Zbl0972.82506MR1262261
  20. [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. Zbl0862.58030

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