Restricting Representations of Completely Solvable Lie Groups
Restricting Representations of Completely Solvable Lie Groups
复制标题
完全可解李群的限制表示
DOI：
10.4153/cjm-1990-042-9
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发表时间：
1990
期刊：
影响因子：
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通讯作者：
R. Lipsman
中科院分区：
文献类型：
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作者：
R. Lipsman
我们在这里关心的问题描述的直接积分分解的酉表示得到的限制从一个更大的群体。这是一个对偶问题，更常见的研究问题分解诱导表示。在本文中，我们工作的背景下，完全可解李群-更一般的比幂零，但一般比指数可解。此外，所涉及的群体只是简单地联系在一起。限制问题最初是在[2]和[6]中考虑的幂零群。
We are concerned here with the problem of describing the direct integral decomposition of a unitary representation obtained by restriction from a larger group. This is the dual problem to the more commonly investigated problem of decomposing induced representations. In this paper we work in the context of completely solvable Lie groups—more general than nilpotent, but less general than exponential solvable. Moreover, the groups involved are simply connected. The restriction problem was considered originally in [2] and in [6] for nilpotent groups.