Geodesic
Climbing elements in finite Coxeter groups.
The electronic journal of combinatorics, Tome 17 (2010)
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We define the notion of a climbing element in a finite real reflection group relative to a total order on the reflection set and we characterise these elements in the case where the total order arises from a bipartite Coxeter element.
DOI : 10.37236/428
Classification : 20F55
Mots-clés : finite real reflection groups, total orders, reflection sets, finite Coxeter systems, reduced expressions, climbing elements 
@article{10_37236_428,
     author = {Thomas Brady and Aisling Kenny and Colum Watt},
     title = {Climbing elements in finite {Coxeter} groups.},
     journal = {The electronic journal of combinatorics},
     year = {2010},
     volume = {17},
     doi = {10.37236/428},
     zbl = {1211.20034},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/428/}
}
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TI  - Climbing elements in finite Coxeter groups.
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UR  - http://geodesic.mathdoc.fr/articles/10.37236/428/
DO  - 10.37236/428
ID  - 10_37236_428
ER  - 
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%A Thomas Brady
%A Aisling Kenny
%A Colum Watt
%T Climbing elements in finite Coxeter groups.
%J The electronic journal of combinatorics
%D 2010
%V 17
%U http://geodesic.mathdoc.fr/articles/10.37236/428/
%R 10.37236/428
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Thomas Brady; Aisling Kenny; Colum Watt. Climbing elements in finite Coxeter groups.. The electronic journal of combinatorics, Tome 17 (2010). doi: 10.37236/428

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