Yangian Gelfand-Zetlin bases, gfraktur l signN-Jack polynomials and computation of dynamical correlation functions in the spin Calogero-Sutherland Model

Communications in Mathematical Physics

Volumn 191, Issue 3, 1998, Pages 663-696

  Uglov, Denis ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000475476     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050283     Document Type: Article

References (32)

1. Bernard, D., Gaudin, M., Haldane, F.D.M. and Pasquier, V.: Yang-Baxter equation in long-range interacting systems. J. Phys., A26, 5219-5236 (1993)
2. Cherednik, I.V.: A new interpretation of Gelfand-Zetlin bases. Duke Math. J. 54, 563-577 (1987)
3. Cherednik, I.V.: A unification of the Knizhnik-Zamolodchikov and Dunkl operators via affine Hecke algebras. Inv. Math., 106, 411-432 (1991)
4. Cherednik, I.V.: Integration of quantum many-body problems by affine Knizhnik-Zamolodchikov equations. Preprint RIMS-776 (1991); Advances in Math. 106, 65-95 (1994)
5. Cherednik, I.V.: Integration of quantum many-body problems by affine Knizhnik-Zamolodchikov equations. Preprint RIMS-776 (1991); Advances in Math. 106, 65-95 (1994)
6. Cherednik, I.V.: Double Affine Hecke algebras and Macdonald's conjectures. Annals Math. 141, 191-216 (1995); Non-symmetric Macdonald Polynomials IMRN 10, 483-515 (1995)
7. Cherednik, I.V.: Double Affine Hecke algebras and Macdonald's conjectures. Annals Math. 141, 191-216 (1995); Non-symmetric Macdonald Polynomials IMRN 10, 483-515 (1995)
8. Drinfeld, V.G.: A new realization of Yangians and quantized affine algebras. Sov. Math. Dokl. 36, 212-216 (1988); "Quantum Groups." In: Proceedings of the International Congress of Mathematicians, Am. Math. Soc., Providence, RI. 1987 pp. 798-820
9. Drinfeld, V.G.: A new realization of Yangians and quantized affine algebras. Sov. Math. Dokl. 36, 212-216 (1988); "Quantum Groups." In: Proceedings of the International Congress of Mathematicians, Am. Math. Soc., Providence, RI. 1987 pp. 798-820
10. Dunkl, C.F.: Trans. Am. Math. Soc. 311, 167 (1989)
11. Forrester, P.J.: Int. J. Mod. Phys. B9, 1234 (1995)
12. Ha, Z.N.C.: Phys. Rev. Lett. 73, 1574 (1994); Nucl. Phys., B435[FS], 604 (1995)
13. Ha, Z.N.C.: Phys. Rev. Lett. 73, 1574 (1994); Nucl. Phys., B435[FS], 604 (1995)
14. Jimbo, M.: it Topics from representation theory of Uq(g) - an introductory guide to physicists. Nankai Lectures on Mathematical Physics, Singapore: World Scientific, 1992
15. Kac, V.G. and Raina, A.: Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebras. Singapore: World Scientific, 1987
16. Kato, Y.: Green Function of the Sutherland Model with SU(2) internal symmetry. Preprint
17. Kato, Y. and Kuramoto, Y.: Phys. Rev. Lett. 74, 1222 (1995)
18. Konno, H.: Nucl. Phys. B473, 579 (1996)
19. Lesage, F., Pasquier, V. and Serban, D.: Nucl. Phys. 435[FS], 585 (1995)
20. Macdonald, I.G.: Affine Hecke algebra and Orthogonal Polynomials. Séminaire Bourbaki, 47 No. 797, 1-18 (1995)
21. Macdonald, I.G.: Symmetric functions and Hall polynomials 2-nd ed., London: Clarendon Press, 1995
22. Minahan, J. and Polychronakos, A.P.: Phys. Lett. B326, 288 (1994); Phys. Rev., B50, 4236 (1994)
23. Minahan, J. and Polychronakos, A.P.: Phys. Lett. B326, 288 (1994); Phys. Rev., B50, 4236 (1994)
24. Molev, A.I.: Gelfand-Tsetlin Bases for Representations of Yangians. Lett. Math. Phys., 30, 53-60 (1994)
25. Nazarov, M. and Tarasov, V.: Representations of Yangians with Gelfand-Zetlin bases. Preprint UWS-MRRS-94-148 (1994). to be published in J. für Reine und Angew. Math.
26. Opdam, E.: Harmonic analysis for certain representations of graded Hecke algebras. Acta Math. 175, 75-121 (1995)
27. Stanley, R.P.: Adv. Math. 77, 76 (1989)
28. Sutherland, B.: J. Math. Phys. 12, 246, 251 (1971); Phys. Rev. A4, 2019 (1971); ibid. A5, 1372 (1972)
29. Sutherland, B.: J. Math. Phys. 12, 246, 251 (1971); Phys. Rev. A4, 2019 (1971); ibid. A5, 1372 (1972)
30. Sutherland, B.: J. Math. Phys. 12, 246, 251 (1971); Phys. Rev. A4, 2019 (1971); ibid. A5, 1372 (1972)
31. Takemura K. and Uglov D.: The Orthogonal Eigenbasis and Norms of Eigenvectors in the Spin Calogero-Sutherland Model. Preprint RIMS-1114 (solv-int/9611006)
32. Uglov, D.: Semi-infinite wedges and the conformal limit of the fermionic spin Calogero-Sutherland model of spin 1/2. Nucl. Phys. B478, 401-430 (1996)