Geodesic
Reduced and Nonreduced Presentations of Weyl Group Elements
Journal of Lie theory, Tome 29 (2019) no. 2, pp. 559-599
Cet article a éte moissonné depuis la source Heldermann Verlag

Voir la notice de l'article

This paper is a sequel to work of E. B. Dynkin [Semisimple subalgebras of semisimple Lie algebras, Translations of the AMS (2) 6 (1957) 111--244] on subroot lattices of root lattices and to work of R. W. Carter [Conjugacy classes in the Weyl group, Comp. Math. 25 (1972) 1--59] on presentations of Weyl group elements as products of reflections.
Classification : 17B22, 20F55
Mots-clés : Root system, subroot lattice, reduced presentation, quasi-Coxeter element, extended affine root system 
@article{JLT_2019_29_2_JLT_2019_29_2_a10,
     author = {S. Balnojan and C. Hertling},
     title = {Reduced and {Nonreduced} {Presentations} of {Weyl} {Group} {Elements}},
     journal = {Journal of Lie theory},
     pages = {559--599},
     year = {2019},
     volume = {29},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JLT_2019_29_2_JLT_2019_29_2_a10/}
}
TY  - JOUR
AU  - S. Balnojan
AU  - C. Hertling
TI  - Reduced and Nonreduced Presentations of Weyl Group Elements
JO  - Journal of Lie theory
PY  - 2019
SP  - 559
EP  - 599
VL  - 29
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/JLT_2019_29_2_JLT_2019_29_2_a10/
ID  - JLT_2019_29_2_JLT_2019_29_2_a10
ER  - 
%0 Journal Article
%A S. Balnojan
%A C. Hertling
%T Reduced and Nonreduced Presentations of Weyl Group Elements
%J Journal of Lie theory
%D 2019
%P 559-599
%V 29
%N 2
%U http://geodesic.mathdoc.fr/item/JLT_2019_29_2_JLT_2019_29_2_a10/
%F JLT_2019_29_2_JLT_2019_29_2_a10
S. Balnojan; C. Hertling. Reduced and Nonreduced Presentations of Weyl Group Elements. Journal of Lie theory, Tome 29 (2019) no. 2, pp. 559-599. http://geodesic.mathdoc.fr/item/JLT_2019_29_2_JLT_2019_29_2_a10/