|
|||||
|
|
|
|
|
|
|
|
|
Superdistributions,
analytic and algebraic super Harish-Chandra pairs
Claudio Carmeli and Rita Fioresi |
|
Vol. 263 (2013), No. 1, 29–51
|
Abstract |
|
We extend the theory of super Harish-Chandra pairs, originally developed by Kostant and Koszul for smooth Lie supergroups, to algebraic supergroups over a field of characteristic zero. We also review the corresponding complex analytic theory and we give a characterization of the action of an algebraic (resp. complex analytic) super Harish-Chandra pair on a supervariety (resp. complex analytic supermanifold).
|
Keywords
supergroups, supergeometry
|
Mathematical Subject Classification 2010
Primary: 14A22, 14M30, 32C11, 58A50
Secondary: 16S38, 58C50
|
Milestones
Received: 5 September 2012
Revised: 19 September 2012
Accepted: 21 September 2012
Published: 14 May 2013
|
Authors |
| Claudio Carmeli | |
| D.I.M.E., Università di Genova Via Cadorna 2 I-17100 Savona Italy |
INFN, Sezione di Genova Via Dodecaneso 33 I-16416 Genova Italy |
| Rita Fioresi | |
| Dipartimento di Matematica Università di Bologna Piazza di Porta S. Donato, 5 40126 Bologna Italy |
|
|
