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This article is cited in 2 scientific papers (total in 2 papers)
Non-Gatherable Triples for Non-Affine Root Systems
Ivan Cherednik, Keith Schneider Department of Mathematics, UNC Chapel Hill, North Carolina 27599, USA
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.
Keywords:
root systems; Weyl groups; reduced decompositions.
Received: September 3, 2008; in final form November 8, 2008; Published online November 14, 2008
Citation:
Ivan Cherednik, Keith Schneider, “Non-Gatherable Triples for Non-Affine Root Systems”, SIGMA, 4 (2008), 079, 12 pp.
Linking options:
https://www.mathnet.ru/eng/sigma332 https://www.mathnet.ru/eng/sigma/v4/p79
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Abstract page: | 258 | Full-text PDF : | 41 | References: | 28 |
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