Alldridge, Alexander ORCID: 0000-0001-6331-1672, Hilgert, Joachim and Wurzbacher, Tilmann (2018). SUPERORBITS. J. Inst. Math. Jussieu, 17 (5). S. 1065 - 1121. CAMBRIDGE: CAMBRIDGE UNIV PRESS. ISSN 1475-3030
Full text not available from this repository.Abstract
We study actions of Lie supergroups, in particular, the hitherto elusive notion of orbits through odd (or more general) points. Following categorical principles, we derive a conceptual framework for their treatment and therein prove general existence theorems for the isotropy (or stabiliser) supergroups and orbits through general points. In this setting, we show that the coadjoint orbits always admit a (relative) supersymplectic structure of Kirillov-Kostant-Souriau type. Applying a family version of Kirillov's orbit method, we decompose the regular representation of an odd Abelian supergroup into an odd direct integral of characters and construct universal families of representations, parametrised by a supermanifold, for two different super variants of the Heisenberg group.
Item Type: | Journal Article | ||||||||||||||||
Creators: |
|
||||||||||||||||
URN: | urn:nbn:de:hbz:38-168696 | ||||||||||||||||
DOI: | 10.1017/S147474801600030X | ||||||||||||||||
Journal or Publication Title: | J. Inst. Math. Jussieu | ||||||||||||||||
Volume: | 17 | ||||||||||||||||
Number: | 5 | ||||||||||||||||
Page Range: | S. 1065 - 1121 | ||||||||||||||||
Date: | 2018 | ||||||||||||||||
Publisher: | CAMBRIDGE UNIV PRESS | ||||||||||||||||
Place of Publication: | CAMBRIDGE | ||||||||||||||||
ISSN: | 1475-3030 | ||||||||||||||||
Language: | English | ||||||||||||||||
Faculty: | Unspecified | ||||||||||||||||
Divisions: | Unspecified | ||||||||||||||||
Subjects: | no entry | ||||||||||||||||
Uncontrolled Keywords: |
|
||||||||||||||||
Refereed: | Yes | ||||||||||||||||
URI: | http://kups.ub.uni-koeln.de/id/eprint/16869 |
Downloads
Downloads per month over past year
Altmetric
Export
Actions (login required)
View Item |