Invariant Differential Operators On
نویسنده
چکیده
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 Pn ×R . These invariant differential operators play an important role in the theory of automorphic forms on GL(n,R) ⋉ R generlaizing that of automorphic forms on GL(n,R).
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