On the fully commutative elements of Coxeter groups

Journal of Algebraic Combinatorics

Volumn 5, Issue 4, 1996, Pages 353-385

  Stembridge, John R ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Bruhat order; Coxeter group; Heap; Reduced word; Weak order

Indexed keywords

EID: 0000906088     PISSN: 09259899     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf00193185     Document Type: Article

References (14)

1. S. Billey and M. Haiman, "Schubert polynomials for the classical groups," J. Amer. Math. Soc. 8 (1995), 443-482.
2. S. Billey, W. Jockusch, and R. Stanley, "Some combinatorial properties of Schubert polynomials," J. Alg. Combin. 2 (1993), 345-374.
3. A. Björner, "Orderings of Coxeter groups," Contemporary Math. 34 (1984), 175-195.
4. N. Bourbaki, Groupes et Algèbres de Lie, Chaps. IV-VI, Masson, Paris, 1981.
5. P. Cartier and D. Foata, Problèmes Combinatoires de Commutation et Réarrangements, Lect. Notes in Math. Vol. 85, Springer-Verlag, 1969.
6. C.K. Fan, A Hecke Algebra Quotient and Properties of Commutative Elements of a Weyl Group, Ph.D. thesis, MIT, 1995.
7. C.K. Fan, "A Hecke algebra quotient and some combinatorial applications," J. Alg. Combin., to appear.
8. n-analogues of Schubert polynomials," Trans. Amer. Math. Soc., to appear.
9. J.E. Humphreys, Reflection Groups and Coxeter Groups, Cambridge Univ. Press, Cambridge, 1990.
10. T.K. Lam, B and D Analogues of Stable Schubert Polynomials and Related Insertion Algorithms, Ph.D. thesis, MIT, 1995.
11. R.A. Proctor, "Bruhat lattices, plane partition generating functions, and minuscule representations," Europ. J. Combin. 5 (1984), 331-350.
12. R.P. Stanley, Enumerative Combinatorics, Vol. I, Wadsworth & Brooks/Cole, Monterey, 1986.
13. J.R. Stembridge, "Some combinatorial aspects of reduced words in finite Coxeter groups," Trans. Amer. Math. Soc., to appear.
14. G.X. Viennot, "Heaps of pieces I: Basic definitions and combinatorial lemmas," in Combinatoire Énumérative, G. Labelle and P. Leroux (Eds.), pp. 321-350, Lect. Notes in Math. Vol. 1234, Springer-Verlag, 1985.