Casimir operators for symplectic groups
We give a full set of generators for the center of the universal enveloping Lie algebra of the symplectic group of arbitrary genus. They are of trace type and are given in terms of a basis chosen such that the action on representations of given K-type becomes transparent. We give examples for the la...
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| Main Author: | |
|---|---|
| Format: | Article (Journal) |
| Language: | English |
| Published: |
4 May 2012
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| In: |
International journal of number theory
Year: 2012, Volume: 8, Issue: 4, Pages: 923-932 |
| ISSN: | 1793-0421 |
| DOI: | 10.1142/S1793042112500546 |
| Online Access: | Verlag, Volltext: http://dx.doi.org/10.1142/S1793042112500546
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| Author Notes: | Kathrin Maurischat |
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| 520 | |a We give a full set of generators for the center of the universal enveloping Lie algebra of the symplectic group of arbitrary genus. They are of trace type and are given in terms of a basis chosen such that the action on representations of given K-type becomes transparent. We give examples for the latter. | ||
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