Geodesic
Left-Garside categories, self-distributivity, and braids
Dehornoy, Patrick1 
1 Laboratoire de Mathématiques Nicolas Oresme Université de Caen 14032 Caen France
Annales mathématiques Blaise Pascal, Tome 16 (2009) no. 2, pp. 189-244

Voir la notice de l'article provenant de la source Numdam

In connection with the emerging theory of Garside categories, we develop the notions of a left-Garside category and of a locally left-Garside monoid. In this framework, the relationship between the self-distributivity law LD and braids amounts to the result that a certain category associated with LD is a left-Garside category, which projects onto the standard Garside category of braids. This approach leads to a realistic program for establishing the Embedding Conjecture of [Dehornoy, Braids and Self-distributivity, Birkhaüser (2000), Chap. IX].

DOI : 10.5802/ambp.263
Classification : 18B40, 20N02, 20F36
Keywords: Garside category, Garside monoid, self-distributivity, braid, greedy normal form, least common multiple, LD-expansion

Dehornoy, Patrick 1

1 Laboratoire de Mathématiques Nicolas Oresme Université de Caen 14032 Caen France 
@article{AMBP_2009__16_2_189_0,
     author = {Dehornoy, Patrick},
     title = {Left-Garside categories, self-distributivity, and braids},
     journal = {Annales math\'ematiques Blaise Pascal},
     pages = {189--244},
     publisher = {Annales math\'ematiques Blaise Pascal},
     volume = {16},
     number = {2},
     year = {2009},
     doi = {10.5802/ambp.263},
     zbl = {1183.18004},
     mrnumber = {2568862},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5802/ambp.263/}
}
TY  - JOUR
AU  - Dehornoy, Patrick
TI  - Left-Garside categories, self-distributivity, and braids
JO  - Annales mathématiques Blaise Pascal
PY  - 2009
SP  - 189
EP  - 244
VL  - 16
IS  - 2
PB  - Annales mathématiques Blaise Pascal
UR  - http://geodesic.mathdoc.fr/articles/10.5802/ambp.263/
DO  - 10.5802/ambp.263
LA  - en
ID  - AMBP_2009__16_2_189_0
ER  - 
%0 Journal Article
%A Dehornoy, Patrick
%T Left-Garside categories, self-distributivity, and braids
%J Annales mathématiques Blaise Pascal
%D 2009
%P 189-244
%V 16
%N 2
%I Annales mathématiques Blaise Pascal
%U http://geodesic.mathdoc.fr/articles/10.5802/ambp.263/
%R 10.5802/ambp.263
%G en
%F AMBP_2009__16_2_189_0
Dehornoy, Patrick. Left-Garside categories, self-distributivity, and braids. Annales mathématiques Blaise Pascal, Tome 16 (2009) no. 2, pp. 189-244. doi: 10.5802/ambp.263

Cité par Sources :