Let G be a Lie group acting on a homogeneous space G/K. The center of the universal enveloping algebra of the Lie algebra of G maps homomorphically into the center of the algebra of differential operators on G/K invariant under the action of G. In the case that G is a Jacobi Lie group of rank 2, we prove that this homomorphism is surjective and hence that the center of the invariant differential operator algebra is the image of the center of the universal enveloping algebra. This is an extension of work of Bringmann, Conley, and Richter in the rank 1case.
| Identifer | oai:union.ndltd.org:unt.edu/info:ark/67531/metadc283833 |
| Date | 08 1900 |
| Creators | Dahal, Rabin |
| Contributors | Conley, Charles H., Cherry, William, 1966-, Richter, Olav |
| Publisher | University of North Texas |
| Source Sets | University of North Texas |
| Language | English |
| Detected Language | English |
| Type | Thesis or Dissertation |
| Format | Text |
| Rights | Public, Dahal, Rabin, Copyright, Copyright is held by the author, unless otherwise noted. All rights Reserved. |
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