Climbing elements in finite coxeter groups

Thomas Brady; Aisling Kenny; Colum Watt

doi:10.37236/428

Climbing elements in finite coxeter groups

Thomas Brady
, Aisling Kenny
, Colum Watt

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Journal	Electronic Journal of Combinatorics
Volume	17
Issue number	1
DOIs	https://doi.org/10.37236/428
Publication status	Published - 2010

Access to Document

10.37236/428

https://arrow.tudublin.ie/scschmatart/153Licence: CC BY-NC-SA

Cite this

@article{7485cbdc4bff4247b8ab2b4fee70baf0,

title = "Climbing elements in finite coxeter groups",

abstract = "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.",

author = "Thomas Brady and Aisling Kenny and Colum Watt",

year = "2010",

doi = "10.37236/428",

language = "English",

volume = "17",

journal = "Electronic Journal of Combinatorics",

issn = "1077-8926",

publisher = "Australian National University",

number = "1",

}

TY - JOUR

T1 - Climbing elements in finite coxeter groups

AU - Brady, Thomas

AU - Kenny, Aisling

AU - Watt, Colum

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/78649707808

U2 - 10.37236/428

DO - 10.37236/428

M3 - Article

SN - 1077-8926

VL - 17

JO - Electronic Journal of Combinatorics

JF - Electronic Journal of Combinatorics

IS - 1

ER -

Climbing elements in finite coxeter groups

Abstract

Access to Document

Fingerprint

Cite this