Chevalley Restriction Theorem for Vector-valued Functions on Quantum Groups
نویسنده
چکیده
We generalize Chevalley’s theorem about restriction Res : C[g]g → C[h]W to the case when a semisimple Lie algebra g is replaced by a quantum group and the target space C of the polynomial maps is replaced by a finite dimensional representation V of this quantum group. We prove that the restriction map Res : (Oq(G) ⊗ V )Uq(g) → O(H) ⊗ V is injective and describe the image.
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تاریخ انتشار 2011