The Langlands-Shahidi L-Functions for Brylinski-Deligne Extensions

DOI10.1353/AJM.2018.0001zbMath1425.11109OpenAlexW2783999127MaRDI QIDQ5374318

Fan Gao

Publication date: 10 April 2018

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1353/ajm.2018.0001

zbMATH Keywords

Gindikin-Karpelevich formulaBrylinski-Deligne extensionsEisenstein series on covering groupsLanglands-Shahidi automorphic \(L\)-functionstopological covering groups

Mathematics Subject Classification ID

Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) 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 (14)

R-GROUP AND WHITTAKER SPACE OF SOME GENUINE REPRESENTATIONS ⋮ Periods and \((\chi,b)\)-factors of cuspidal automorphic forms of metaplectic groups ⋮ Resonant Mirković-Vilonen polytopes and formulas for highest-weight characters ⋮ TWISTED DOUBLING INTEGRALS FOR BRYLINSKI–DELIGNE EXTENSIONS OF CLASSICAL GROUPS ⋮ Generalized Bump-Hoffstein conjecture for coverings of the general linear groups ⋮ Algebraicity of metaplectic \(L\)-functions ⋮ Classical theta lifts for higher metaplectic covering groups ⋮ On Shahidi local coefficients matrix ⋮ Hecke \(L\)-functions and Fourier coefficients of covering Eisenstein series ⋮ Kazhdan-Lusztig representations and Whittaker space of some genuine representations ⋮ Unramified Whittaker functions for certain Brylinski-Deligne covering groups ⋮ Doubling constructions and tensor product \(L\)-functions: the linear case ⋮ On the Local Coefficients Matrix for Coverings of $$\mathrm{SL}_2$$SL2 ⋮ Local Coefficients and Gamma Factors for Principal Series of Covering Groups

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