Connes-Landi spheres are homogeneous spaces
Abstract: 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 [11], we derive the noncommutative 7-sphere in the sense of Connes and Landi [3] as the fixed-point subalgebra.
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| Format: | Digital revista |
| Language: | English |
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Universidad Nacional de Colombia y Sociedad Colombiana de Matemáticas
2019
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| Online Access: | http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0034-74262019000300257 |
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