Representations of groups on eigenspaces of invariant differential operators
نویسندگان
چکیده
منابع مشابه
Invariant Differential Operators On
For two positive integers m and n, we let Pn be the open convex cone in R consisting of positive definite n × n real symmetric matrices and let R be the set of all m×n real matrices. In this article, we investigate differential operators on the non-reductive manifold Pn × R (m,n) that are invariant under the natural action of the semidirect product group GL(n,R)⋉R on the MinkowskiEuclid space P...
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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 a...
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ژورنال
عنوان ژورنال: Banach Center Publications
سال: 1987
ISSN: 0137-6934,1730-6299
DOI: 10.4064/-19-1-301-309