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Chevalley restriction theorem for vector-valued functions on quantum groups (CROSBI ID 179730)
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Balagović, Martina
Chevalley restriction theorem for vector-valued functions on quantum groups // Representation theory, 15 (2011), 617-645. doi: 10.1090/S1088-4165-2011-00408-8
Podaci o odgovornosti
Balagović, Martina
engleski
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 : (O-q(G) circle times V)(Uq(g)) -> O(H) circle times V is injective and describe the
Quantum group ; Chevalley restriction theorem
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