Parabolic double cosets in Coxeter groups

Parabolic subgroups WI of Coxeter systems (W,S) and their ordinary and double cosets W/WI and WI\W/WJ appear in many contexts in combinatorics and Lie theory, including the geometry and topology of generalized flag varieties and the symmetry groups of regular polytopes. The set of ordinary cosets wW...

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Bibliographic Details
Main Authors: Sara Billey, Matjaz Konvalinka, T. Kyle Petersen, William Slofstra, Bridget Tenner
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2020-04-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/6347/pdf