We review the basic theory of super G-spaces. We prove a theorem relating the action of a super Harish-Chandra pair (G(0), g) on a supermanifold to the action of the corresponding super Lie group G. The proof given here does not use Frobenius' theorem but; relies on Koszul's realization of the structure sheaf of a super Lie group. We prove the representability of the stability subgroup functor.
Super G-spaces
CARMELI, CLAUDIO;CASSINELLI, GIOVANNI
2009-01-01
Abstract
We review the basic theory of super G-spaces. We prove a theorem relating the action of a super Harish-Chandra pair (G(0), g) on a supermanifold to the action of the corresponding super Lie group G. The proof given here does not use Frobenius' theorem but; relies on Koszul's realization of the structure sheaf of a super Lie group. We prove the representability of the stability subgroup functor.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
