Chevalley restriction theorem for vector-valued functions on quantum groups
نویسندگان
چکیده
منابع مشابه
Chevalley Restriction Theorem for Vector-valued Functions on Quantum Groups
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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ژورنال
عنوان ژورنال: Representation Theory of the American Mathematical Society
سال: 2011
ISSN: 1088-4165
DOI: 10.1090/s1088-4165-2011-00408-8