Odd symplectic groups
Odd symplectic groups
复制标题
DOI：
10.1007/bf01404455
复制
发表时间：
1988-06
影响因子：
3.1
通讯作者：
Robert A. Proctor
中科院分区：
文献类型：
--
作者：
Robert A. Proctor
因此，梯子的一侧对应于SO3， SO4, SO5, SO6, SO7....，而另一边对应Sp2，？Sp4, ?, Sp6……本文证明了“奇辛群”Sp2，-x有一个特征公式，其分母是BG的任意一边。上面给出的恒等式。因此，以前未解释的根系BG， _ 1现在对应于一个经典的李群。现在有两个经典李群与Weyl群W （D,）相连，就像有两个经典李群与Weyl群W （BG,）相连一样。
Hence one side of the ladder corresponds to SO3, SO4, SO5, SO6, SO7...., whereas the other side corresponds to Sp2,?, Sp4,?, Sp6..... In this paper we show that the" odd symplectic group" Sp2,-x has a character formula whose denominator is either side of the BG. _ 1 identity given above. Thus the previously-unaccounted-for root system BG, _ 1 now corresponds to a classical Lie group. And there are now two classical Lie groups associated to the Weyl group W (D,), just as there have been two classical Lie groups associated to the Weyl group W (BG,).