Abstract
Quantum spheres can be defined in any number of dimensions by normalizing a vector of quantum Euclidean space [1]. The differential calculus on quantum Euclidean space [2] induces a calculus on the quantum sphere. The case of two-spheres in three-space is special in that there are many more possibilities. These have been studied by P. Podleś [3, 4, 5, 6] who has defined quantum spheres as quantum spaces on which quantum SU q (2) coacts. He has also developed a noncommutative differential calculus on them. In these lectures we consider, following [7], a special case of Podles spheres which is one of those special to three space dimensions.KeywordsCommutation RelationQuantum GroupPoisson BracketPoisson StructureDifferential CalculusThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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