Equivariant vector bundles over the upper half plane
نویسندگان
چکیده
منابع مشابه
Equivariant Vector Bundles on Drinfeld ’ S Upper Half Space Sascha
Let X ⊂ PdK be Drinfeld’s upper half space over a finite extension K of Qp. We construct for every GLd+1-equivariant vector bundle F on PdK , a GLd+1(K)equivariant filtration by closed subspaces on the K-Fréchet H(X ,F). This gives rise by duality to a filtration by locally analytic GLd+1(K)-representations on the strong dual H(X ,F). The graded pieces of this filtration are locally analytic in...
متن کاملEquivariant Vector Bundles on Drinfeld’s Upper Half Space
Let X ⊂ PK be Drinfeld’s upper half space over a finite extension K of Qp. We construct for every GLd+1-equivariant vector bundle F on PK , a GLd+1(K)equivariant filtration by closed subspaces on the K-Fréchet H0(X ,F). This gives rise by duality to a filtration by locally analytic GLd+1(K)-representations on the strong dual H0(X ,F)′. The graded pieces of this filtration are locally analytic i...
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This is a continuation of the authors’ previous work [CKMS99] on classification of equivariant complex vector bundles over a circle. In this paper we classify equivariant real vector bundles over a circle with a compact Lie group action, by characterizing the fiber representations of them, and by using the result of the complex case. We also treat the triviality of them. The basic phenomenon is...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 2003
ISSN: 0019-2082
DOI: 10.1215/ijm/1258138184