Hecke algebras and shellings of Bruhat intervals
Compositio Mathematica (1993)
- Volume: 89, Issue: 1, page 91-115
- ISSN: 0010-437X
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topDyer, M. J.. "Hecke algebras and shellings of Bruhat intervals." Compositio Mathematica 89.1 (1993): 91-115. <http://eudml.org/doc/90254>.
@article{Dyer1993,
author = {Dyer, M. J.},
journal = {Compositio Mathematica},
keywords = {Coxeter groups; Kazhdan-Lusztig polynomials; Coxeter systems; Iwahori- Hecke algebras; interpolating polynomials; inverse KL-polynomials; Kazhdan-Lusztig basis elements; reflection orders; Bruhat intervals},
language = {eng},
number = {1},
pages = {91-115},
publisher = {Kluwer Academic Publishers},
title = {Hecke algebras and shellings of Bruhat intervals},
url = {http://eudml.org/doc/90254},
volume = {89},
year = {1993},
}
TY - JOUR
AU - Dyer, M. J.
TI - Hecke algebras and shellings of Bruhat intervals
JO - Compositio Mathematica
PY - 1993
PB - Kluwer Academic Publishers
VL - 89
IS - 1
SP - 91
EP - 115
LA - eng
KW - Coxeter groups; Kazhdan-Lusztig polynomials; Coxeter systems; Iwahori- Hecke algebras; interpolating polynomials; inverse KL-polynomials; Kazhdan-Lusztig basis elements; reflection orders; Bruhat intervals
UR - http://eudml.org/doc/90254
ER -
References
top- 1 Alvis, D., The left cells of the Coxeter group of type H4, J. Alg.107(1) (1987), 160-168. Zbl0615.20019MR883878
- 2 Bjorner, A., Orderings of Coxeter groups, in "Combinatorics and algebra (Boulder, Colo. 1983)", Contemp Math34, Amer. Math. Soc., Providence, R. I, (1984). Zbl0594.20029MR777701
- 3 Bjorner, A. and Wachs, M., Bruhat order of Coxeter groups and shellability, Adv. in Math.43 (1982), 87-100. Zbl0481.06002MR644668
- 4 Bjorner, A. and Wachs, M., Generalized quotients in Coxeter groups, Trans. A.M.S.308(1) (1988), 1-37. Zbl0659.05007MR946427
- 5 Casian, L.G., Graded characters of induced representations II (classification of principal series modules for complex groups), preprint. Zbl0734.22003MR1094247
- 6 Deodhar, V., On some geometric aspects of Bruhat ordering II: The parabolic analogues of Kazhdan-Lusztig polynomials, J. of Alg.111(2) (1987), 483-506. Zbl0656.22007MR916182
- 7 Dyer, M., On some generalizations of the Kazhdan-Lusztig polynomials for "universal" Coxeter systems, J. of Alg.116 (1988), 355-71. Zbl0646.20037MR953157
- 8 Dyer, M., Hecke algebras and reflections in Coxeter groups, Ph.D. Thesis, University of Sydney (1987).
- 9 Dyer, M., Reflection subgroups of Coxeter systems, J. of Alg.135 (1990), 57-73. Zbl0712.20026MR1076077
- 10 Dyer, M., On the Bruhat graph of a Coxeter system, Comp. Math.78 (1991), 185-191. Zbl0784.20019MR1104786
- 11 Kazhdan, D. and Lusztig, G., Representations of Coxeter groups and Hecke algebras, Invent. Math.53 (1979), 165-184. Zbl0499.20035MR560412
- 12 Kazhdan, D. and Lusztig, G., Schubert varieties and Poincaré duality, Proc. Sym. Pure Math. of Amer. Math. Soc.36 (1980), 185-203. Zbl0461.14015MR573434
- 13 Lehrer, G. and Dyer, M., On positivity in Hecke algebras, preprint (1989). Zbl0717.20027MR1066561
- 14 Lusztig, G., Left cells in Weyl groups, in "Lie group representations," Lecture Notes in Math.1024, Springer-Verlag, Berlin, Heidelberg and New York (1983). Zbl0537.20019MR727851
- 15 Lusztig, G., Cells in affine Weyl groups, in " Algebraic groups and related topics," Adv. Studies in Pure Math.6, Kinokuniya and North-Holland (1985). Zbl0569.20032MR803338
- 16 Stanley, R., 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. Zbl0652.52007MR951205
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