@article{CM_1993__89_1_91_0, author = {Dyer, M. J.}, title = {Hecke algebras and shellings of {Bruhat} intervals}, journal = {Compositio Mathematica}, pages = {91--115}, publisher = {Kluwer Academic Publishers}, volume = {89}, number = {1}, year = {1993}, mrnumber = {1248893}, zbl = {0817.20045}, language = {en}, url = {http://archive.numdam.org/item/CM_1993__89_1_91_0/} }
Dyer, M. J. Hecke algebras and shellings of Bruhat intervals. Compositio Mathematica, Tome 89 (1993) no. 1, pp. 91-115. http://archive.numdam.org/item/CM_1993__89_1_91_0/
1 The left cells of the Coxeter group of type H4, J. Alg. 107(1) (1987), 160-168. | MR | Zbl
,2 Orderings of Coxeter groups, in "Combinatorics and algebra (Boulder, Colo. 1983)", Contemp Math 34, Amer. Math. Soc., Providence, R. I, (1984). | MR | Zbl
,3 Bruhat order of Coxeter groups and shellability, Adv. in Math. 43 (1982), 87-100. | MR | Zbl
and ,4 Generalized quotients in Coxeter groups, Trans. A.M.S. 308(1) (1988), 1-37. | MR | Zbl
and ,5 Graded characters of induced representations II (classification of principal series modules for complex groups), preprint. | MR | Zbl
,6 On some geometric aspects of Bruhat ordering II: The parabolic analogues of Kazhdan-Lusztig polynomials, J. of Alg. 111(2) (1987), 483-506. | MR | Zbl
,7 On some generalizations of the Kazhdan-Lusztig polynomials for "universal" Coxeter systems, J. of Alg. 116 (1988), 355-71. | MR | Zbl
,8 Hecke algebras and reflections in Coxeter groups, Ph.D. Thesis, University of Sydney (1987).
,9 Reflection subgroups of Coxeter systems, J. of Alg. 135 (1990), 57-73. | MR | Zbl
,10 On the Bruhat graph of a Coxeter system, Comp. Math. 78 (1991), 185-191. | EuDML | Numdam | MR | Zbl
,11 Representations of Coxeter groups and Hecke algebras, Invent. Math. 53 (1979), 165-184. | EuDML | MR | Zbl
and ,12 Schubert varieties and Poincaré duality, Proc. Sym. Pure Math. of Amer. Math. Soc. 36 (1980), 185-203. | MR | Zbl
and ,13 On positivity in Hecke algebras, preprint (1989). | MR | Zbl
and ,14 Left cells in Weyl groups, in "Lie group representations," Lecture Notes in Math. 1024, Springer-Verlag, Berlin, Heidelberg and New York (1983). | MR | Zbl
,15 Cells in affine Weyl groups, in " Algebraic groups and related topics," Adv. Studies in Pure Math. 6, Kinokuniya and North-Holland (1985). | MR | Zbl
,16 Generalized H-vectors, intersection cohomology of toric varieties and related results, in "Commutative algebra and Combinatorics," Adv. Stud. in Pure Math. 11, North-Holland, Amsterdam and New York (1987), pp. 187-213. | MR | Zbl
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