典型Weyl群上的最长元和最高根(英文)

The Longest Elements and the Highest Roots in the Classical Weyl Groups

给出了典型Weyl群上的最长元的一般形式。同时,也详细地给出了最长元对于单系的作用,以及最高根所对应的反射。

This paper gives the general expression of the longest elements in classical Weyl groups. At the same time we give the results of the longest element acting the corresponding to simple roots and gives the general expression of the reflections corresponding to the highest roots.