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arXiv · 0809.0534

Non-Gatherable Triples for Non-Affine Root Systems

Ivan Cherednik·Keith Schneider
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Abstract

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.

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BibTeXRIS

Ivan Cherednik, Keith Schneider. 2008-11-14. Non-Gatherable Triples for Non-Affine Root Systems. https://doi.org/10.3842/sigma.2008.079

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