An infinitesimal variant of the Guo-Jacquet trace formula. I: The case of \((\mathrm{GL}_{2n, D}, \mathrm{GL}_{n, D}\times \mathrm{GL}_{n, D})\)
From MaRDI portal
Publication:2119454
DOI10.25537/dm.2022v27.315-381zbMath1493.11092arXiv1904.07102MaRDI QIDQ2119454
Publication date: 29 March 2022
Published in: Documenta Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.07102
Representation-theoretic methods; automorphic representations over local and global fields (11F70) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Linear algebraic groups over adèles and other rings and schemes (20G35)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The trace formula in invariant form
- A trace formula for reductive groups. I: Terms associated to classes in G(Q)
- The characters of discrete series as orbital integrals
- The trace formula for Lie algebras.
- Periods and nonvanishing of central \(L\)-values for \(\mathrm{GL}(2n)\)
- Basic number theory.
- Characteristic polynomials of central simple algebras
- An intersection formula for CM cycles on Lubin-Tate spaces
- Coarse relative trace formulae of Jacquet-Rallis
- On a truncation variation of Arthur
- On linear periods
- Sur certains groupes d'opérateurs unitaires
- Linear periods.
- On the smooth transfer for Guo–Jacquet relative trace formulae
- Sur un résultat de Waldspurger
- Invariant Theory
- LA VARIANTE INFINITÉSIMALE DE LA FORMULE DES TRACES DE JACQUET-RALLIS POUR LES GROUPES LINÉAIRES
- A Truncated Poisson Formula for Groups of Rank at Most Two
- On a Generalization of a Result of Waldspurger
- La Formule des Traces Tordue d’après le Friday Morning Seminar
- Lie Groups, Lie Algebras, and Representations
- Periods of automorphic forms: the case of
- A first course in harmonic analysis