非仿射根系的不可聚三元组
Non-Gatherable Triples for Non-Affine Root Systems
摘要：
本文给出了经典根系、$F_4$和$E_6$的最小不可分三角三元组的完整描述。这样的序列与仿射和非仿射外尔群中的约化分解（字）相关联。不可约三元组的存在性是利用交织器技术明确描述仿射Hecke代数的不可约表示的组合障碍，是对它们的代数几何理论的补充。
英文摘要：
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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