Super G-spaces
نویسنده
چکیده
We review the basic theory of super G-spaces. We prove a theorem relating the action of a super Harish-Chandra pair (G0, g) on a supermanifold to the action of the corresponding super Lie group G. The theorem was stated in [DM99] without proof. The proof given here does not use Frobenius theorem but relies on Koszul realization of the structure sheaf of a super Lie group (see [Kosz83]). We prove the representability of the stability subgroup functor.
منابع مشابه
Frames in super Hilbert modules
In this paper, we define super Hilbert module and investigate frames in this space. Super Hilbert modules are generalization of super Hilbert spaces in Hilbert C*-module setting. Also, we define frames in a super Hilbert module and characterize them by using of the concept of g-frames in a Hilbert C*-module. Finally, disjoint frames in Hilbert C*-modules are introduced and investigated.
متن کاملSuper coset space geometry
Super coset spaces play an important role in the formulation of supersymmetric theories. The aim of this paper is to review and discuss the geometry of super coset spaces with particular focus on the way the geometrical structures of the super coset space G/H are inherited from the super Lie group G. The isometries of the super coset space are discussed and a definition of Killing supervectors ...
متن کاملAsymptotic aspect of quadratic functional equations and super stability of higher derivations in multi-fuzzy normed spaces
In this paper, we introduce the notion of multi-fuzzy normed spaces and establish an asymptotic behavior of the quadratic functional equations in the setup of such spaces. We then investigate the superstability of strongly higher derivations in the framework of multi-fuzzy Banach algebras
متن کاملHamiltonian Reduction and Supersymmetric Toda Models
New formulations of the solutions of N=1 and N=2 super Toda field theory are introduced, using Hamiltonian reduction of the N=1 and N=2 super WZNW Models to the super Toda Models. These pa-rameterisations are then used to present the Hamiltonian formulations of the super Toda theories on the spaces of solutions.
متن کاملOn the super domination number of graphs
The open neighborhood of a vertex $v$ of a graph $G$ is the set $N(v)$ consisting of all vertices adjacent to $v$ in $G$. For $Dsubseteq V(G)$, we define $overline{D}=V(G)setminus D$. A set $Dsubseteq V(G)$ is called a super dominating set of $G$ if for every vertex $uin overline{D}$, there exists $vin D$ such that $N(v)cap overline{D}={u}$. The super domination number of $G$ is the minimum car...
متن کامل