| Reference : Dual pairs in the Pin-group and duality for the corresponding spinorial representation |
| E-prints/Working papers : Already available on another site | |||
| Physical, chemical, mathematical & earth Sciences : Mathematics | |||
| http://hdl.handle.net/10993/39954 | |||
| Dual pairs in the Pin-group and duality for the corresponding spinorial representation | |
| English | |
| [fr] Paires duales dans le groupe Pin et dualité pour la représentation spinorielle correspondante | |
Guerin, Clément  [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >] | |
| Liu, Gang [Université de Lorraine- Institut Elie Cartan > Mathématiques > > Maître de Conférences] | |
| Merino, Allan [National University of Singapore > Mathematics > > Research assistant] | |
| 23-Jul-2019 | |
| 22 | |
| No | |
| [en] dual pairs ; duality ; Pin group | |
| [en] In this paper, we give a complete picture of Howe correspondence for the setting (O(E,b),Pin(E,b),Π), where O(E,b) is an orthogonal group (real or complex), Pin(E,b) is the two-fold Pin-covering of O(E,b), and Π is the spinorial representation of Pin(E,b). More precisely, for a dual pair (G,G′) in O(E,b), we determine explicitly the nature of its preimages (G̃,G′~) in Pin(E,b), and prove that apart from some exceptions, (G̃,G′~) is always a dual pair in Pin(E,b); then we establish the Howe correspondence for Π with respect to (G̃,G′~). | |
| Researchers | |
| http://hdl.handle.net/10993/39954 | |
| https://arxiv.org/abs/1907.09093 | |
| FnR ; FNR11405402 > Jean-Marc Schlenker > AGoLoM > Analysis and Geometry of Low-dimensional Manifolds > 01/09/2017 > 31/08/2020 > 2016 |
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