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
Mots-clés : finite real reflection groups, total orders, reflection sets, finite Coxeter systems, reduced expressions, climbing elements
Thomas Brady; Aisling Kenny; Colum Watt. Climbing elements in finite Coxeter groups.. The electronic journal of combinatorics, Tome 17 (2010). doi: 10.37236/428
@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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