Rhombic tilings of polygons and classes of reduced words in Coxeter groups

Journal of Combinatorial Theory. Series A

Volumn 77, Issue 2, 1997, Pages 193-221

  Elnitsky, Serge ^a  

^a Parametric Technology Corporation   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031071060     PISSN: 00973165     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcta.1997.2723     Document Type: Article

References (16)

1. 1. N. Bourbaki, "Groupes et algèbres de Lie," Chaps. 4-6, Masson, Paris, 1981.
2. r, preprint.
3. 3. G. David and C. Tomei, The problem of the calissons, Amer. Math. Monthly 96 (1989), 429-434.
4. 4. P. H. Edelman, Lexicographically first reduced words, preprint.
5. 5. S. Elnitsky, "Rhombic Tilings of Polygons and Classes of Reduced Words in Coxeter Groups," Ph.D. dissertation, University of Michigan, 1993.
6. 6. I. M. Gessel and G. Viennot, Determinants, paths, and plane partitions, preprint.
7. 7. J. E. Humphreys, "Reflection Groups and Coxeter Groups," Cambridge Univ. Press, Cambridge, 1990.
8. 8. G. Kuperberg, Symmetries of plane partitions and the permanent-determinant method, J. Combin. Theory Ser. A 68 (1994).
9. 9. G. Kuperberg and J. Propp, private communication.
10. 10. Yu. I. Manin and V. V. Schechtman, Higher Bruhat orders, related to the symmetric group, Funct. Anal. Appl. 20 (1986), 148-150.
11. 11. V. Reiner, private communication.
12. 12. R. P. Stanley, "Enumerative Combinatorics," Vol. I, Wadsworth & Brooks/Cole, 1986.
13. 13. R. P. Stanley, Symmetries of plane partitions, J. Combin. Theory Ser. A 43 (1986).
14. 14. J. R. Stembridge, Some hidden relations involving the ten symmetry classes of plane partitions, J. Combin. Theory Ser. A 68 (1994).
15. 15. V. Strehl, Combinatorics of special functions: Facets of Brock's identity, in "Séries formelles et combinatoire algébrique" (P. Leroux and C. Reutenauer, Eds.), University of Quebec, Montreal, 1992.
16. 16. G. M. Ziegler, Higher Bruhat orders and cyclic hyperplane arrangements, Topology 32 (1993), 259-279.