90,021 research outputs found
Duality between quantum symmetric algebras
Using certain pairings of couples, we obtain a large class of two-sided
non-degenerated graded Hopf pairings for quantum symmetric algebras.Comment: 15 pages. Letters in Math. Phy., to appear soo
Pairings of automorphic distributions
We present a pairing of automorphic distributions that applies in situations
where a Lie group acts with an open orbit on a product of generalized flag
varieties. The pairing gives meaning to an integral of products of automorphic
distributions on these varieties. This generalizes classical integral
representations or "Rankin-Selberg integrals" of L-functions, and gives new
constructions and analytic continuations of automorphic L-functions.
Keywords: Automorphic forms, invariant pairings, automorphic distributions,
L-functions, analytic continuation, rapid decay.Comment: 19 pages, to appear in Mathematische Annale
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