Superization of homogeneous spin manifolds and geometry of homogeneous supermanifolds
نویسندگان
چکیده
منابع مشابه
Superization of Homogeneous Spin Manifolds and Geometry of Homogeneous Supermanifolds
Let M0 = G0/H be a (pseudo)-Riemannian homogeneous spin manifold, with reductive decomposition g0 = h + m and let S(M0) be the spin bundle defined by the spin representation Ãd : H → GLR(S) of the stabilizer H . This article studies the superizations of M0, i.e. its extensions to a homogeneous supermanifold M = G/H whose sheaf of superfunctions is isomorphic to Λ(S(M0)). Here G is the Lie super...
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ژورنال
عنوان ژورنال: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
سال: 2009
ISSN: 0025-5858,1865-8784
DOI: 10.1007/s12188-009-0031-2