Liberations and twists of real and complex spheres |
| |
Affiliation: | Department of Mathematics, Cergy-Pontoise University, 95000 Cergy-Pontoise, France |
| |
Abstract: | We study the 10 noncommutative spheres obtained by liberating, twisting, and liberating +twisting the real and complex spheres . At the axiomatic level, we show that, under very strong axioms, these 10 spheres are the only ones. Our main results concern the computation of the quantum isometry groups of these 10 spheres, taken in an affine real/complex sense. We formulate as well a proposal for an extended formalism, comprising 18 spheres. |
| |
Keywords: | Quantum isometry Noncommutative sphere Free sphere |
本文献已被 ScienceDirect 等数据库收录! |
|