On the green polynomials of a chevalley group of type f4
On the green polynomials of a chevalley group of type f4
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关于 f4 型谢瓦利群的绿色多项式
DOI：
10.1080/00927878208822732
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发表时间：
1982
影响因子：
0.7
通讯作者：
T. Shoji
中科院分区：
文献类型：
--
作者：
T. Shoji
1.1. 设G是定义在有限域k= Fq和上的连通约化代数群。UJ。它是李代数。设F是G的Frobenius映射。TA施普林格在[13]中定义了Green函数QT， G，对于每一个F稳定的极大torusT，它是qF的幂零元集合上的一个函数。如果p (= char。k)和q足够大，由DA Kazhdan[5]证明，这些函数作为G'的单元集合上的函数与delig - lusztig [I]引入的Green函数重合。设A是06'中的一个幂零元素。设63为C的Borel子群的变种；A由Borel suhgroupi组成的63的亚种
1.1. Let G be a connected reductive algebraic group defined over a finite field k= Fq and. UJ. its Lie algebra. Let F be a Frobenius map of G. TA Springer has defined in [13] the Green function QT, G for each F-stable maximal torusT, which is a function on the set of nilpotent elements of qF. If p (= char. k) and q are sufficiently large, it is shown by DA Kazhdan [5] that these functions regarded as functions on the set of unipotent elements of G'coincide with the Green functions introduced by Deligne-Lusztig [I]. Let A be a nilpotent element of 06'. and let 63 be the variety of Borel subgroups of C;, A the subvariety of 63 consisting of Borel suhgroupi