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A型Hecke代数的幂等元

Idempotents of Hecke algebras of type A

A. K. Aiston, H. R. Morton

备注：
27 pages LaTeX2e, 21 figures. The statements of theorem 4.1 and corollary 4.2 have been corrected, and a proof has been added. We thank Sachin Valera for pointing out the mistake in the original statement of theorem 4.1 . At the same time some of the references have been updated
发表信息：
J. Knot Theory Ramif. 7 (1998), 463-487
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摘要：

我们使用一个绞理论版本的Hecke代数的A型Gyoja的幂等元，密切根据相应的杨图的三维图形视图。在这种情况下，我们给出了Hecke代数中两个自然中心元素的特征值的简单计算，即全旋度和Murphy算子之和。我们还讨论了它们的计算方面的框架因子相关联的适当的不可约表示的量子群SU（N，q）。

英文摘要：

We use a skein-theoretic version of the Hecke algebras of type A to present three-dimensional diagrammatic views of Gyoja's idempotent elements, based closely on the corresponding Young diagram. In this context we give straightforward calculations for the eigenvalues of two natural central elements in the Hecke algebras, namely the full curl and the sum of the Murphy operators. We discuss their calculation also in terms of the framing factor associated to the appropriate irreducible representation of the quantum group SU(N,q).

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