Invariant Differential Operators and Representations with Spherical Orbits
نویسنده
چکیده
It is known that the algebra D(V ) of G-invariant differential operators corresponding to a G-module V of a complex reductive group G is commutative if and only if V is a spherical G-module. In the present work we study the structure of D(V ) for G-modules with spherical orbits. It is proved that the centralizer Z(V ) of the subalgebra k[V ] in D(V ) is commutative. Also a characterization of actions with spherical orbits in terms of the reduced action is obtained.
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تاریخ انتشار 2003