In this paper, 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).

Super Distributions, Analytic and super Harish-Chandra pairs

CARMELI, CLAUDIO;
2013

Abstract

In this paper, 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).
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11567/458318
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