Hermitian symmetric space, flat bundle and holomorphicity criterion
نویسندگان
چکیده
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Then the V pq are obviously disjoint, and V pq = V . Further, the complex characters of S are exactly the z 7→ z−pz−qv, and any representation of S on a complex vector space has to break up into such characters, so V has to be the direct sum of the V . Conversely, if the V pq are given, then it is easy to define h : S → GL(V ) in terms of the above formula. We remark that V is homogeneous of we...
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ژورنال
عنوان ژورنال: Bulletin des Sciences Mathématiques
سال: 2016
ISSN: 0007-4497
DOI: 10.1016/j.bulsci.2016.03.001