Name
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 representations 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. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1016/j.jcta.2006.03.012 | J. Comb. Theory, Ser. A |
Keywords | Field | DocType |
corresponding artin group,linear representation,usual order,weyl group,bmw algebras,monoid representations,artin monoids,dynkin diagram,positive monoid,posets,positive root,root systems,artin groups,poset generalizes,root system,representation theory,group theory,artin group | Discrete mathematics,Combinatorics,Artin's conjecture on primitive roots,Artin reciprocity law,Weyl group,Artin L-function,Dynkin diagram,Monoid,Artin approximation theorem,Mathematics,Partially ordered set | Journal |
Volume | Issue | ISSN |
113 | 8 | Journal of Combinatorial Theory, Series A |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Arjeh M. Cohen | 1 | 76 | 15.45 |
| Dié A. H. Gijsbers | 2 | 0 | 0.34 |
| David B. Wales | 3 | 7 | 1.41 |