SU(N) meander determinants

Journal of Mathematical Physics

Volumn 38, Issue 11, 1997, Pages 5905-5943

  Di Francesco, P ^a,b  

^a University of North Carolina at Chapel Hill   (United States)

^b CEA SACLAY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031530667     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532173     Document Type: Article

References (21)

1. J. Touchard, "Contributions à l'étude du problème des timbres poste," Can. J. Math. 2, 385-398 (1950).
2. W. Lunnon, "A map-folding problem," Math. Comput. 22, 193-199 (1968).
3. K. Hoffman, K. Mehlhorn, P. Rosenstiehl, and R. Tarjan, "Sorting Jordan sequences in linear time using level-linked search trees," Inf. Control. 68, 170-184 (1986).
4. 4, hyperbolicity and projective topology." Siberian Math. J. 29, 717-726 (1988).
5. S. Lando and A. Zvonkin, "Plane and projective meanders," Theor. Comput. Sci. 117, 227-241 (1993); and "Meanders," Selecta Math. Sov. 11, 117-144 (1992).
6. S. Lando and A. Zvonkin, "Plane and projective meanders," Theor. Comput. Sci. 117, 227-241 (1993); and "Meanders," Selecta Math. Sov. 11, 117-144 (1992).
7. K. H. Ko and L. Smolinsky, "A combinatorial matrix in 3-manifold theory," Pacific. J. Math. 149, 319-336 (1991).
8. P. Di Francesco, O. Golinelli, and E. Quitter, "Meander, folding and arch statistics," Math. Comput. 144, (1996), hep-th/950630.
9. P. Di Francesco, O. Golinelli, and E. Guitter, "Meanders and the Temperley-Lieb algebra," Commun. Math. Phys. 186, 1-59 (1997).
10. H. Temperley and E. Lieb, "Relations between the percolation and coloring problem and other graph-theoretical problems associated with regular planar lattices: Some exact results for the percolation problem," Proc. R. Soc. London, Ser. A 322, 251-280 (1971).
11. P. Martin, Potts Models and Related Problems in Statistical Mechanics (World Scientific, Singapore, 1991).
12. N. Reshetikhin, "Quantized universal enveloping algebras, the Yang-Baxter equation and invariants of links 1 and 2," LOMI preprints E-4-87 and E-17-87, 1988.
13. P. Di Francesco, "Meander determinants," to appear in Commun. Math. Phys. hep-th/9612026.
14. n-1 family of solvable lattice models," Mod. Phys. Lett. B 1, 73-79 (1987), and "Solvable lattice models related to the vector representation of classical simple Lie algebras," Commun. Math. Phys. 116, 507-525 (1988).
15. n-1 family of solvable lattice models," Mod. Phys. Lett. B 1, 73-79 (1987), and "Solvable lattice models related to the vector representation of classical simple Lie algebras," Commun. Math. Phys. 116, 507-525 (1988).
16. R. Dipper and G. James, "Representations of Hecke algebras of general linear groups," Proc. London Math. Soc. 52. 20-52 (1986); "Blocks and idempotents of Hecke algebras of general linear groups," Proc. London Math. Soc. 54, 57-82 (1987).
17. R. Dipper and G. James, "Representations of Hecke algebras of general linear groups," Proc. London Math. Soc. 52. 20-52 (1986); "Blocks and idempotents of Hecke algebras of general linear groups," Proc. London Math. Soc. 54, 57-82 (1987).
18. G. Murphy, "On the representation theory of the symmetric groups and associated Hecke algebras." J. Alg. 152, 492-513 (1992).
19. A. Kuniba and T. Nakanishi. "Level-rank duality in fusion RSOS models," in Proceedings of the International Colloquium on Modern Quantum Field Theory, Bombay, edited by S. Das et al. (World Scientific. Singapore, 1991).
20. I. Cherednik, "A new interpretation of Gelfand-Tzeitlin bases," Duke Math. J. 54, 563-577 (1987).
21. P. Di Francesco, O. Golinelli, and E. Quitter, "Meanders: A direct enumeration approach," Nucl. Phys. B 482[FS], 497-535 (1997).