Minimal length coset representatives for quotients of parabolic subgroups in Coxeter groups

Fabio Stumbo

Bollettino dell'Unione Matematica Italiana (2000)

  • Volume: 3-B, Issue: 3, page 699-715
  • ISSN: 0392-4041

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Stumbo, Fabio. "Minimal length coset representatives for quotients of parabolic subgroups in Coxeter groups." Bollettino dell'Unione Matematica Italiana 3-B.3 (2000): 699-715. <http://eudml.org/doc/195923>.

@article{Stumbo2000,
author = {Stumbo, Fabio},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {finite irreducible Coxeter systems; generators; relations; Coxeter groups; parabolic subgroups; generating sets; minimal length representatives; cosets},
language = {eng},
month = {10},
number = {3},
pages = {699-715},
publisher = {Unione Matematica Italiana},
title = {Minimal length coset representatives for quotients of parabolic subgroups in Coxeter groups},
url = {http://eudml.org/doc/195923},
volume = {3-B},
year = {2000},
}

TY - JOUR
AU - Stumbo, Fabio
TI - Minimal length coset representatives for quotients of parabolic subgroups in Coxeter groups
JO - Bollettino dell'Unione Matematica Italiana
DA - 2000/10//
PB - Unione Matematica Italiana
VL - 3-B
IS - 3
SP - 699
EP - 715
LA - eng
KW - finite irreducible Coxeter systems; generators; relations; Coxeter groups; parabolic subgroups; generating sets; minimal length representatives; cosets
UR - http://eudml.org/doc/195923
ER -

References

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  1. BOURBAKI, N., Groupes et Algèbres de Lie, Chap. 4-6, Paris, Hermann (1968). Zbl0483.22001MR240238
  2. BRIESKORN, E., Sur les groupes de tresses, Sém. Bourbaki, 401 (1971). Zbl0277.55003
  3. DE CONCINI, C.- SALVETTI, M., Cohomology of Artin groups, to appear in Math. Res. Lett. Zbl0870.57004
  4. DE CONCINI, C.- SALVETTI, M.- STUMBO, F., The top-cohomology of Artin Groups with coefficients in rank-1 local systems over Z , Topology and its applications, 78 (1997), 5-20. Zbl0878.55003MR1465022
  5. DU CLOUX, F., Un algorithme de forme normale pour les groupes de Coxeter, preprint, Ecole Politechnique, Palaiseau, 1990. 
  6. HUMPHREYS, J. E., Reflection groups and Coxeter groups, Cambridge Un. Press, 1990. Zbl0725.20028MR1066460
  7. SALVETTI, M.- STUMBO, F., Artin groups associated to infinite Coxeter groups, Discrete Mathematics, 163 (1997), 129-138. Zbl0871.05031MR1428564
  8. SOLOMON, L., A decomposition of the group algebra of a finite Coxeter group, J. of Algebra, 9 (1968), 220-239. Zbl0186.04503MR232868
  9. STEINBERG, R., Endomorphisms of linear algebraic groups, Mem. Amer. Math. Soc., 80 (1968). Zbl0164.02902MR230728
  10. STUMBO, F., Coomologia dei gruppi di Artin, Univ. di Pisa, Ph. D. Thesis, 1997. 
  11. VASSILIEV, V. A., Complements of Discriminants of Smooth Maps: Topology and Applications, Tran. of Math. Monog., AMS98, 1992. Zbl0762.55001MR1168473

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