论文标题
连接到三步的尼尔氏谎言组的广义gelfand对
A generalized Gelfand pair attached to 3-step nilpotent Lie group
论文作者
论文摘要
令N为Nilpotent lie群，而K的n型自动形态组AUT（N）的紧凑型亚组。当k是一个非压缩组时，gelfand对的概念被推广。在这项工作中，我们举了一个3步nilpotent Lie组和AUT（n）的非紧凑型亚组K的示例，使得（k nn，n）是概括的gelfand对。
Let N be a nilpotent Lie group and K a compact subgroup of the automorphism group Aut(N) of N. It is well-known that if (KnN,N) is a Gelfand pair then N is at most 2-step nilpotent Lie group. The notion of Gelfand pair was generalized when K is a non-compact group. In this work, we give an example of a 3-step nilpotent Lie group and a non-compact subgroup K of Aut(N) such that (K nN,N) is a generalized Gelfand pair.
