Hermitian Symmetric Domains
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چکیده
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 weight k if and only if, for all t ∈ R×, we have h(t) = tI ∈ GL(V ).
منابع مشابه
On geometric and motivic realizations of variations of Hodge structure over Hermitian symmetric domains
of the Dissertation On geometric and motivic realizations of variations of Hodge structure over Hermitian symmetric domains
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