Alldridge, A. (2012). The Harish-Chandra isomorphism for reductive symmetric superpairs. Transform. Groups, 17 (4). S. 889 - 920. NEW YORK: SPRINGER BIRKHAUSER. ISSN 1531-586X
Full text not available from this repository.Abstract
We consider symmetric pairs of Lie superalgebras and introduce a graded Harish-Chandra homomorphism. Generalising results of Harish-Chandra and V. Kac, M. Gorelik, we prove that, assuming reductivity, its image is a certain explicit filtered subalgebra J(a) of the Weyl invariants on a Cartan subspace whose associated graded gr J(a) is the image of Chevalley's restriction map on symmetric invariants. In contrast to the known cases, J(a) is in general not isomorphic to gr J(a).
| Item Type: | Journal Article | ||||||||
| Creators: |
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| URN: | urn:nbn:de:hbz:38-477651 | ||||||||
| DOI: | 10.1007/s00031-012-9200-y | ||||||||
| Journal or Publication Title: | Transform. Groups | ||||||||
| Volume: | 17 | ||||||||
| Number: | 4 | ||||||||
| Page Range: | S. 889 - 920 | ||||||||
| Date: | 2012 | ||||||||
| Publisher: | SPRINGER BIRKHAUSER | ||||||||
| Place of Publication: | NEW YORK | ||||||||
| ISSN: | 1531-586X | ||||||||
| Language: | English | ||||||||
| Faculty: | Unspecified | ||||||||
| Divisions: | Unspecified | ||||||||
| Subjects: | no entry | ||||||||
| Uncontrolled Keywords: |
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| URI: | http://kups.ub.uni-koeln.de/id/eprint/47765 |
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