Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6423965 | Electronic Notes in Discrete Mathematics | 2011 | 6 Pages |
Abstract
We present a new axiomatization of what is known as the “root system” of a Coxeter group that does not involve vector spaces or Coxeter groups. We use this to combinatorially characterize the structure of intervals in weak Bruhat order in much the same way that finite distributive lattices are characterized as the lattices of order ideals of partially ordered sets. In fact, the result for distributive lattices follows as a special case.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Matthew J. Samuel,