A Length Function for Weyl Groups of extended affine root systems of Type $A_1$
Quantum Algebra
2012-07-11 v1 Combinatorics
Abstract
In this work, we study the concept of the length function and some of its combinatorial properties for the class of extended affine root systems of type . We introduce a notion of root basis for these root systems, and using a unique expression of the elements of the Weyl group with respect to a set of generators for the Weyl group, we calculate the length function with respect to a very specific root basis.
Keywords
Cite
@article{arxiv.1207.2250,
title = {A Length Function for Weyl Groups of extended affine root systems of Type $A_1$},
author = {Saeid Azam and Mohammad Nikouei},
journal= {arXiv preprint arXiv:1207.2250},
year = {2012}
}
Comments
21 pages, accepted for publication in Alg. Coll