arXiv Analytics

Sign in

arXiv:1712.03717 [math.CO]AbstractReferencesReviewsResources

A simple characterization of special matchings in lower Bruhat intervals

Fabrizio Caselli, Mario Marietti

Published 2017-12-11Version 1

We give a simple characterization of special matchings in lower Bruhat intervals (that is, intervals starting from the identity element) of a Coxeter group. As a byproduct, we obtain some results on the action of special matchings.

Comments: accepted for publication on Discrete Mathematics
Categories: math.CO, math.RT
Subjects: 05E99, 20F55
Related articles: Most relevant | Search more
arXiv:math/0702177 [math.CO] (Published 2007-02-07)
Alternating subgroups of Coxeter groups
arXiv:1812.06266 [math.CO] (Published 2018-12-15)
Bruhat order and graph structures of lower intervals in Coxeter groups
arXiv:1103.5179 [math.CO] (Published 2011-03-27, updated 2011-10-17)
Arrangements stable under the Coxeter groups