Cohen, Arjeh M. and Gijsbers, Dié A. H. and Wales, David B. (2005) A Poset Connected to Artin Monoids of Simply Laced Type. . (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20191007-160434367
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Abstract
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) | ||||||
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| Record Number: | CaltechAUTHORS:20191007-160434367 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20191007-160434367 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 99130 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Tony Diaz | ||||||
| Deposited On: | 07 Oct 2019 23:07 | ||||||
| Last Modified: | 07 Oct 2019 23:07 |
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