关于半单李群的E-函数
On E-functions of Semisimple Lie Groups
摘要：
我们开发和描述类函数的连续和离散变换的紧凑半单，但不是简单的，李群$G$作为他们的扩展到一系列的特殊功能，是不变的行动下，甚至子群的Weyl群的$G$。我们区分了偶Weyl群的两种情况--一种是$G$的单分支的偶Weyl群的直积，另一种是$G$的全偶Weyl群.这个问题在两个维度上相当简单。它是更丰富的维度大于2-我们详细描述$E-$变换的半单李群秩3。
英文摘要：
We develop and describe continuous and discrete transforms of class functions on a compact semisimple, but not simple, Lie group $G$ as their expansions into series of special functions that are invariant under the action of the even subgroup of the Weyl group of $G$. We distinguish two cases of even Weyl groups -- one is the direct product of even Weyl groups of simple components of $G$, the second is the full even Weyl group of $G$. The problem is rather simple in two dimensions. It is much richer in dimensions greater than two -- we describe in detail $E-$transforms of semisimple Lie groups of rank 3.
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