On the local and global exterior square \(L\)-functions of \(\mathrm{GL}_n\)

DOI10.4310/MRL.2012.V19.N4.A5zbMath1333.11047arXiv1201.4126MaRDI QIDQ1951835

Pramod Kumar Kewat, Ravi Raghunathan

Publication date: 24 May 2013

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.4126

zbMATH Keywords

general linear groupexterior square \(L\)-functions

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Related Items (13)

Unnamed Item ⋮ Local exterior square and Asai \(L\)-functions for \(\operatorname{GL}(n)\) in odd characteristic ⋮ Factorization of the local exterior square \(L\)-function of \(\mathrm{GL}_m\) ⋮ Local distinction, quadratic base change and automorphic induction for \(\mathrm{GL}_n\) ⋮ Archimedean zeta integrals for the exterior square \(L\)-functions on \(\mathrm{GL}_{n}\) ⋮ Exterior square gamma factors for cuspidal representations of \(GL_n\): finite field analogs and level-zero representations ⋮ A local trace formula for the generalized Shalika model ⋮ Linear and Shalika local periods for the mirabolic group, and some consequences ⋮ Relative discrete series representations for two quotients of $p$-adic $\mathbf{GL}_n$ ⋮ Derivatives and exceptional poles of the local exterior square \(L\)-function for \(\mathrm{GL}_m\) ⋮ A theory of Miyawaki liftings: the Hilbert-Siegel case ⋮ Linear periods and distinguished local parameters ⋮ LOCAL NEWFORMS AND FORMAL EXTERIOR SQUARE L-FUNCTIONS

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