Open AccessOn cosets in Coxeter groups
Author(s) -
SARAH B. HART,
PETER J. ROWLEY
Publication year - 2012
Publication title -
turkish journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.454
H-Index - 27
eISSN - 1303-6149
pISSN - 1300-0098
DOI - 10.3906/mat-0909-65
Subject(s) - coxeter group , mathematics , longest element of a coxeter group , coxeter complex , point group , coxeter element , generalization , combinatorics , artin group , bruhat order , coset , group (periodic table) , pure mathematics , mathematical analysis , physics , quantum mechanics
In this paper the notion of Coxeter length for a subset of a Coxeter group is investigated for various subsets of a Coxeter group. Mostly cosets of various subgroups are examined as well as the associated idea of X-posets, which is a vast generalization of the Bruhat order