Non-Gatherable Triples for Non-Affine Root Systems
Quantum Algebra
2008-11-14 v2 Combinatorics
Representation Theory
Abstract
This paper contains a complete description of minimal non-gatherable triangle triples in the lambda-sequences for the classical root systems, and . Such sequences are associated with reduced decompositions (words) in affine and non-affine Weyl groups. The existence of the non-gatherable triples is a combinatorial obstacle for using the technique of intertwiners for an explicit description of the irreducible representations of the (double) affine Hecke algebras, complementary to their algebraic-geometric theory.
Cite
@article{arxiv.0809.0534,
title = {Non-Gatherable Triples for Non-Affine Root Systems},
author = {Ivan Cherednik and Keith Schneider},
journal= {arXiv preprint arXiv:0809.0534},
year = {2008}
}
Comments
This is a contribution to the Special Issue on Kac-Moody Algebras and Applications, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/