Connes-Landi球面是齐性空间
Connes-Landi spheres are homogeneous spaces
摘要：
本文综述了秩至少为二的紧致李群的$θ$ -变形所引起的紧致量子群的一些最新发展。$θ$ -变形仅仅是使用维度高于2的环面的作用的2-上循环变形。利用\cite{W2018}中的公式（引理5.3），我们导出了Connes和Landi \cite{CL2001}意义下的非交换7-球面作为不动点子代数.
英文摘要：
In this paper, we review some recent developments of compact quantum groups that arise as $θ$-deformations of compact Lie groups of rank at least two. A $θ$-deformation is merely a 2-cocycle deformation using an action of a torus of dimension higher than 2. Using the formula (Lemma 5.3) developed in \cite{W2018}, we derive the noncommutative 7-sphere in the sense of Connes and Landi \cite{CL2001} as the fixed-point subalgebra.
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