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Abstract: We generalize Chevalley-s theorem about restriction of \mathfrak{g}-invariantpolynomial functions \mathfrak{g}->C to W-invariant functions on the Cartan\mathfrak{h}->C. We consider the case when \mathfrak{g} is replaced by aquantum group and the target space of the polynomial maps is replaced by afinite dimensional representation V of this quantum group. We prove that therestriction map Res:O qG\otimes V^{U q\mathfrak{g}}-> OH\otimes V isinjective and describe the image.



Author: Martina Balagovic

Source: https://arxiv.org/







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