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arxiv: 0811.3187 · v1 · submitted 2008-11-19 · 🧮 math.OA · math.QA

Noncommutative Geometry and Quantum Group Symmetries

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Quantum groups and quantum homogeneous spaces - developed by several authors since the 80's - provide a large class of examples of algebras which for many reasons we interpret as `coordinate algebras' over noncommutative spaces. This dissertation is an attempt to understand them from the point of view of Connes' noncommutative geometry.

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