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On the Hochschild (co)homology of quantum homogeneous spaces

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Abstract

The recent result of Brown and Zhang establishing Poincaré 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 Podleś quantum 2-sphere.

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Krähmer, U. On the Hochschild (co)homology of quantum homogeneous spaces. Isr. J. Math. 189, 237–266 (2012). https://doi.org/10.1007/s11856-011-0168-4

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