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Non-Gatherable Triples for Non-Affine Root Systems
Symmetry, integrability and geometry: methods and applications, Tome 4 (2008) Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: root systems; Weyl groups; reduced decompositions. 
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     author = {Ivan Cherednik and Keith Schneider},
     title = {Non-Gatherable {Triples} for {Non-Affine} {Root} {Systems}},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2008_4_a78/}
}
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Ivan Cherednik; Keith Schneider. Non-Gatherable Triples for Non-Affine Root Systems. Symmetry, integrability and geometry: methods and applications, Tome 4 (2008). http://geodesic.mathdoc.fr/item/SIGMA_2008_4_a78/

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