Geodesic
Algebraic and Affine Pattern Avoidance
Séminaire lotharingien de combinatoire, Tome 69 (2013)

Voir la notice de l'acte provenant de la source Séminaire Lotharingien de Combinatoire website

We investigate various connections between the 0-Hecke monoid, Catalan monoid, and pattern avoidance in permutations, providing new tools for approaching pattern avoidance in an algebraic framework. In particular, we characterize containment of a class of "long" patterns as equivalent to the existence of a corresponding factorization. We then generalize some of our constructions to the affine setting. 

@article{SLC_2013_69_a2,
     author = {Tom Denton},
     title = {Algebraic and {Affine} {Pattern} {Avoidance}},
     journal = {S\'eminaire lotharingien de combinatoire},
     publisher = {mathdoc},
     volume = {69},
     year = {2013},
     url = {http://geodesic.mathdoc.fr/item/SLC_2013_69_a2/}
}
TY  - JOUR
AU  - Tom Denton
TI  - Algebraic and Affine Pattern Avoidance
JO  - Séminaire lotharingien de combinatoire
PY  - 2013
VL  - 69
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SLC_2013_69_a2/
ID  - SLC_2013_69_a2
ER  - 
%0 Journal Article
%A Tom Denton
%T Algebraic and Affine Pattern Avoidance
%J Séminaire lotharingien de combinatoire
%D 2013
%V 69
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SLC_2013_69_a2/
%F SLC_2013_69_a2
Tom Denton. Algebraic and Affine Pattern Avoidance. Séminaire lotharingien de combinatoire, Tome 69 (2013). http://geodesic.mathdoc.fr/item/SLC_2013_69_a2/