A relative trace identity between \(\text{GL}_{2n}\) and \(\widetilde{\text{Sp}}_n\)

DOI10.1215/00127094-2010-012zbMath1259.11054OpenAlexW2036888200MaRDI QIDQ968951

Zhengyu Mao, Stephen Rallis

Publication date: 11 May 2010

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://math.newark.rutgers.edu/~zmao/Paper/GL-Mp.pdf

zbMATH Keywords

relative trace formulaperiodautomorphic descent

Mathematics Subject Classification ID

Representation-theoretic methods; automorphic representations over local and global fields (11F70) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (5)

A RELATIVE TRACE FORMULA BETWEEN THE GENERAL LINEAR AND THE METAPLECTIC GROUP II: DESCENT ⋮ Quaternion distinguished representations and unstable base change for unitary groups ⋮ A FUNDAMENTAL LEMMA BETWEEN THE SYMPLECTIC AND THE METAPLECTIC GROUP: THE NON-SPLIT CASE ⋮ A conjecture on Whittaker-Fourier coefficients of cusp forms ⋮ On central critical values of the degree four $L$-functions for $\mathrm {GSp}(4)$: The fundamental lemma. III

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Relative spherical functions on \(\wp\)-adic symmetric spaces (three cases)
• On the nonvanishing of some \(L\)-functions
• \(p\)-adic Whittaker functions on the metaplectic group
• Kloosterman integrals for skew symmetric matrices
• A relative Kuznietsov trace formula on \(G_2\)
• The continuous spectrum of the relative trace formula for \(GL(3)\) over a quadratic extension
• On lifting from classical groups to \(\text{GL}_N\)
• On explicit lifts of cusp forms from \(\text{GL}_m\) to classical groups
• Central value of automorphic \(L\)-functions
• Positivity of quadratic base change $L$-functions
• Linear periods.
• Introduction to the Schwartz Space of T\G
• Compact unitary periods
• Schwartz Functions on Nash Manifolds
• A Plancherel formula for Sp_2n/Sp_n×Sp_n and its application
• On a correspondence between cuspidal representations of 𝐺𝐿_{2𝑛} and 𝑆𝑝̃_{2𝑛}
• Jacquet modules of the Weil representations and families of relative trace identities
• Central L-Values and Toric Periods for GL(2)

This page was built for publication: A relative trace identity between \(\text{GL}_{2n}\) and \(\widetilde{\text{Sp}}_n\)