Hecke algebras and shellings of Bruhat intervals

M. J. Dyer

Compositio Mathematica (1993)

  • Volume: 89, Issue: 1, page 91-115
  • ISSN: 0010-437X

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Dyer, 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

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  2. 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. 3 Bjorner, A. and Wachs, M., Bruhat order of Coxeter groups and shellability, Adv. in Math.43 (1982), 87-100. Zbl0481.06002MR644668
  4. 4 Bjorner, A. and Wachs, M., Generalized quotients in Coxeter groups, Trans. A.M.S.308(1) (1988), 1-37. Zbl0659.05007MR946427
  5. 5 Casian, L.G., Graded characters of induced representations II (classification of principal series modules for complex groups), preprint. Zbl0734.22003MR1094247
  6. 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. 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. 8 Dyer, M., Hecke algebras and reflections in Coxeter groups, Ph.D. Thesis, University of Sydney (1987). 
  9. 9 Dyer, M., Reflection subgroups of Coxeter systems, J. of Alg.135 (1990), 57-73. Zbl0712.20026MR1076077
  10. 10 Dyer, M., On the Bruhat graph of a Coxeter system, Comp. Math.78 (1991), 185-191. Zbl0784.20019MR1104786
  11. 11 Kazhdan, D. and Lusztig, G., Representations of Coxeter groups and Hecke algebras, Invent. Math.53 (1979), 165-184. Zbl0499.20035MR560412
  12. 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. 13 Lehrer, G. and Dyer, M., On positivity in Hecke algebras, preprint (1989). Zbl0717.20027MR1066561
  14. 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. 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. 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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