Effective Strong Multiplicity One for Gl M
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منابع مشابه
REFINEMENT OF STRONG MULTIPLICITY ONE FOR AUTOMORPHIC REPRESENTATIONS OF GL(n)
We state a qualitative form of strong multiplicity one for GL1. We derive refinements of strong multiplicity one for automorphic representations arising from Eisenstein series associated to a Borel subgroup on GL(n), and for the cuspidal representations on GL(n) induced from idele class characters of cyclic extensions of prime degree. These results are in accordance with a conjecture of D. Rama...
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In memory of my father Sundaram Ramakrishnan (SRK) Contents 1. Introduction 2. Notation and preliminaries 3. Construction of ⊠ : A(GL(2)) × A(GL(2)) → A(GL(4)) 3.1. Relevant objects and the strategy 3.2. Weak to strong lifting, and the cuspidality criterion 3.3. Triple product L-functions: local factors and holomorphy 3.4. Boundedness in vertical strips 3.5. Modularity in the good case 3.6. A d...
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as gl(V1)⊕ gl(V2)⊕ gl(V3)-modules. This yields a well-known reformulation of (2.1). Proposition A.1. If l(α) 6 dimV1 and l(β) 6 dimV2, then the Kronecker coefficient g(αβγ) is the multiplicity of V1(α)⊗ V2(β) in the gl(V1)⊕ gl(V2)-module (V1 ⊗ V2)(γ). If V is m-dimensional, then V (1) is the one-dimensional gl(V )-module carried by the trace map gl(V ) → C. It follows easily that V (n) ∼= V (1)...
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تاریخ انتشار 2003