A Caltech Library Service

A Poset Connected to Artin Monoids of Simply Laced Type

Cohen, Arjeh M. and Gijsbers, Dié A. H. and Wales, David B. (2005) A Poset Connected to Artin Monoids of Simply Laced Type. . (Unpublished)

[img] PDF - Submitted Version
See Usage Policy.


Use this Persistent URL to link to this item:


Let W be a Weyl group whose type is a simply laced Dynkin diagram. On several W-orbits of sets of mutually commuting reflections, a poset is described which plays a role in linear representatons of the corresponding Artin group A. The poset generalizes many properties of the usual order on positive roots of W given by height. In this paper, a linear representation of the positive monoid of A is defined by use of the poset.

Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription Paper
Record Number:CaltechAUTHORS:20191007-160434367
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:99130
Deposited By: Tony Diaz
Deposited On:07 Oct 2019 23:07
Last Modified:07 Oct 2019 23:07

Repository Staff Only: item control page