量子Isometry群:例子和计算
Quantum Isometry Groups: Examples and Computations
摘要:
在这后续的文章:量子群的等距在经典和非交换几何(arXiv:0704.0041)由Goswami,其中量子等距群的非交换流形已被定义,我们明确计算这样的量子群的一些经典以及非交换流形,包括领域和环面。还证明了(经典或非对易)流形的等谱形变的量子等距群是原(未形变)流形的量子等距群的适当形变。
英文摘要:
In this follow-up of the article: Quantum Group of Isometries in Classical and Noncommutative Geometry(arXiv:0704.0041) by Goswami, where quantum isometry group of a noncommutative manifold has been defined, we explicitly compute such quantum groups for a number of classical as well as noncommutative manifolds including the spheres and the tori. It is also proved that the quantum isometry group of an isospectral deformation of a (classical or noncommutative) manifold is a suitable deformation of the quantum isometry group of the original (undeformed) manifold.
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