Universal Solutions of Quantum Dynamical Yang-Baxter Equations

Letters in Mathematical Physics

Volumn 44, Issue 3, 1998, Pages 201-214

  Arnaudon, D ^a   Buffenoir, E ^b   Ragoucy, E ^a,c   Roche, Ph ^c,d,e  

^a Lab de Phys Theor ENSLAPP   (France)

^b UNIV MONTPELLIER   (France)

^c CERN   (Switzerland)

^d ECOLE POLYTECHNIQUE   (France)

^e Laboratoire UPR 14 du CNRS   (Switzerland)

Author keywords

Dynamical R matrix; Dynamical Yang Baxter equation; Integrable systems

Indexed keywords

EID: 0001425208     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007498022373     Document Type: Article

References (20)

1. Avan, J., Babelon, O. and Billey, B.: The Gervais-Neveu-Felder equation and the quantum Calogero-Moser systems, Comm. Math. Phys. 178 (1996), 281.
2. Babelon, O.: Universal exchange algebra for Bloch waves and Liouville theory, Comm. Math. Phys. 139 (1991), 619.
3. Babelon, O., Bernard, D. and Billey, E.: A quasi-Hopf algebra interpretation of quantum 3-j and 6-j symbols and difference equation, Phys. Lett. B. 375 (1996), 89.
4. Babelon, O. and Toppan, F.: unpublished.
5. Bilal, A. and Gervais, J. L.: Systematic construction of conformal theories with higher spin Virasoro symmetries, Nuclear Phys. B. 318 (1989), 579.
6. Buffernoir, E. and Roche, Ph.: Harmonic analysis on the quantum Lorentz group, Preprint CERN-TH/97-276, q-alg/9710022.
7. q (s1(3)) and beyond, Comm. Math. Phys. 127 (1990), 91.
8. Drinfel'd, V. G.: Quantum groups, in: A. M. Glenson (ed.), Proc. Internat. Congr. Math., Berkeley, 1986.
9. Etingof, P. and Varchenko, A.: Solutions of the quantum dynamical Yang-Baxter equation and dynamical quantum groups, q-alg/9708015.
10. Felder, G.: Elliptic quantum groups, Proc. ICMP, Paris, 1994.
11. Frønsdal, C.: Quasi-Hopf deformations of quantum groups, Lett. Math. Phys. 40 (1997), 117, q-alg/9611028.
12. Gervais, J. L. and Neveu, A.: Novel triangle relation and absence of tachyons in Liouville string field theory, Nuclear Phys. B 238 (1984) 125.
13. Jimbo, M., Konno, H., Odake, S. and Shiraishi, J.: Quasi-Hopf twistors for elliptic quantum groups, q-alg/9712029.
14. Kac, V. G.: A sketch of Lie superalgebra theory, Comm. Math. Phys. 53 (1977), 31.
15. Khoroshkin, S. M. and Tolstoy, V. N.: Universal R-matrix for quantized (super) algebras, Comm. Math. Phys. 141 (1991), 559.
16. Kirillov, A. N. and Reshetikhin, N. Yu.: q-Weyl group and a multiplicative formula for universal matrices, Comm. Math. Phys. 134 (1990), 421.
17. Levendorskii, S. Z. and Soibelman, Ya., S.: The quantum Weyl group and a multiplicative formula for the R-matrix of a simple Lie algebra, Funct. Anal. Appl. 25 (1991), 143.
18. h(s1(n + 1)), Comm. Math. Phys. 124 (1989), 307.
19. Scheunert, M.: Serre type relations for special linear lie superalgebras, Lett. Math. Phys. 24 (1992), 173; Floreanini, R., Leites, D. A. and Vinet, L.: On the defining relations of quantum superalgebras, Lett. Math. Phys. 23 (1991), 127.
20. Scheunert, M.: Serre type relations for special linear lie superalgebras, Lett. Math. Phys. 24 (1992), 173; Floreanini, R., Leites, D. A. and Vinet, L.: On the defining relations of quantum superalgebras, Lett. Math. Phys. 23 (1991), 127.