Contractions of group representations via geometric quantization
Contractions of group representations via geometric quantization
复制标题
通过几何量化的群表示的收缩
DOI：
10.1007/s11005-019-01212-9
复制
发表时间：
2019
影响因子：
1.2
通讯作者：
Akylzhanov R
中科院分区：
文献类型：
--
作者：
Akylzhanov R
我们提出了一个一般的框架，合同酉对偶李群通过全纯量子化的余伴随轨道，使用几何量子化。表示可压缩的充分条件通过余伴随轨道上的余圈来表示。这个条件被证实明确的收缩SUinto。我们构造了两种类型的压缩，可以实现对任何矩阵李群与对角压缩矩阵。
We propose a general framework to contract unitary dual of Lie groups via holomorphic quantization of their coadjoint orbits, using geometric quantization. The sufficient condition for the contractibility of a representation is expressed via cocycles on coadjoint orbits. This condition is verified explicitly for the contraction of SUinto. We construct two types of contractions that can be implemented on every matrix Lie group with diagonal contraction matrix.