The Archimedean Theory of the Exterior Square L-functions over Q
نویسندگان
چکیده
Let π = ⊗ p≤∞ πp be a cuspidal automorphic representation of GL(n) over Q. The adelic representation π is composed of π∞, an archimedean representation of GL(n,R), and nonarchimedean representations πp of GL(n,Qp) for each prime p. For all places p < ∞ outside of a finite set S, πp is unramified and parameterized by principal series parameters {αp,j}. Letting Ap ∈ GL(n,C) denote the diagonal matrix diag(αp,1, . . . , αp,n) and ρ a finite dimensional representation of GL(n,C), Langlands [19] predicts that his L-functions
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