scientific article; zbMATH DE number 1121910
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Publication:4379426
zbMath0922.11041MaRDI QIDQ4379426
Publication date: 9 August 1999
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surveyWeil representationWaldspurger's theoremlocal theta correspondenceSiegel-Weil formulaglobal theta correspondencecohomology of Shimura varietiesfirst appearanceWitt towers
Theta series; Weil representation; theta correspondences (11F27) Representations of Lie and linear algebraic groups over local fields (22E50) Langlands-Weil conjectures, nonabelian class field theory (11S37) Langlands-Weil conjectures, nonabelian class field theory (11R39)
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Restriction of the Weil representation to a maximal compact subgroup ⋮ Clifford and Mackey theory for Weil representations of symplectic groups. ⋮ Small automorphic representations and degenerate Whittaker vectors ⋮ From sum of two squares to arithmetic Siegel–Weil formulas ⋮ Central values of \(L\)-functions of cubic twists ⋮ The Weil representation of a unitary group associated to a ramified quadratic extension of a finite local ring. ⋮ Weight one Jacobi forms and umbral moonshine ⋮ Quadratic Forms and Automorphic Forms ⋮ Generators and relations for the unitary group of a skew Hermitian form over a local ring ⋮ Poles of the Standard -function of and the Rallis–Schiffmann Lift
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