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arxiv: 0806.0267 · v2 · submitted 2008-06-02 · 🧮 math.QA · math.KT

On the Hochschild (co)homology of Quantum Homogeneous Spaces

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keywords hochschildhomologyhopfquantumalgebraalgebrasappliedbrown
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The recent result of Brown and Zhang establishing Poincare duality in the Hochschild (co)homology of a large class of Hopf algebras is extended to right coideal subalgebras over which the Hopf algebra is faithfully flat, and applied to the standard Podles quantum 2-sphere.

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