Rapoport–Zink spaces for spinor groups
نویسندگان
چکیده
منابع مشابه
Spin Spaces, Lipschitz Groups, and Spinor Bundles
It is shown that every bundle ! M of complex spinor modules over the Cliiord bundle Cl(g) of a Riemannian space (M; g) with local model (V; h) is associated with an lpin (\Lipschitz") structure on M, this being a reduction of the O(h)-bundle of all orthonormal frames on M to the Lips-chitz group Lpin(h) of all automorphisms of a suitably deened spin space. An explicit construction is given of t...
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It is shown that every bundle Σ → M of complex spinor modules over the Clifford bundle Cl(g) of a Riemannian space (M,g) with local model (V, h) is associated with an lpin (“Lipschitz”) structure on M , this being a reduction of the O(h)-bundle of all orthonormal frames on M to the Lipschitz group Lpin(h) of all automorphisms of a suitably defined spin space. An explicit construction is given o...
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ژورنال
عنوان ژورنال: Compositio Mathematica
سال: 2017
ISSN: 0010-437X,1570-5846
DOI: 10.1112/s0010437x17007011