Non-Gatherable Triples for Non-Affine Root Systems
| dc.creator | Cherednik, Ivan | |
| dc.creator | Schneider, Keith | |
| dc.date | 2008-09-03 | |
| dc.date | 2008-11-14 | |
| dc.date.accessioned | 2026-07-07T10:17:55Z | |
| dc.date.available | 2026-07-07T10:17:55Z | |
| dc.description | This paper contains a complete description of minimal non-gatherable triangle triples in the lambda-sequences for the classical root systems, $F_4$ and $E_6$. 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. | |
| dc.description | 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/ | |
| dc.identifier | https://arxiv.org/abs/0809.0534 | |
| dc.identifier | http://arxiv.org/abs/0809.0534 | |
| dc.identifier | SIGMA 4 (2008), 079, 12 pages | |
| dc.identifier | doi:10.3842/SIGMA.2008.079 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/174021 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Combinatorics | |
| dc.subject | Representation Theory | |
| dc.title | Non-Gatherable Triples for Non-Affine Root Systems | |
| dc.type | text |