scientific article; zbMATH DE number 1229521

DOI10.1023/A:1000456731715zbMath0931.11015OpenAlexW142384707MaRDI QIDQ4222038

Gordan Savin, Gross, Benedict H.

Publication date: 22 February 2000

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1000456731715

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

minimal representationperiods\(G_2\)holomorphic cusp formmotiveSiegel modular varietymotivic Galois group\(E_7\)exceptional theta correspondence

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Arithmetic aspects of modular and Shimura varieties (11G18) 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

On Minuscule Representations and the Principal SL₂, CAP representations of \(G_{2}\) and the spin \(L\)-function of \(\mathrm{PGSp}_6\), Functoriality and the inverse Galois problem. II: Groups of type \(B_n\) and \(G_2\), The completed standard \(L\)-function of modular forms on \(G_2\), The Fourier expansion of modular forms on quaternionic exceptional groups, Level one algebraic cusp forms of classical groups of small rank, The Local Langlands Conjecture for, Computing finite Galois groups arising from automorphic forms, A local Langlands parameterization for generic supercuspidal representations of $p$-adic $G_2$, Howe duality and dichotomy for exceptional theta correspondences, Galois representations for general symplectic groups, A Miyawaki type lift for \(\mathrm{GSpin}(2,10)\), Siegel modular forms of degree three and the cohomology of local systems, Algebraic modular forms, Dual pairs correspondences of \(E_{8,4}\) and \(E_{7,4}\), Motives with exceptional Galois groups and the inverse Galois problem, Subgroups of \(\mathrm{Spin}(7)\) or \(\mathrm{SO}(7)\) with each element conjugate to some element of \(\mathrm{G}_2\) and applications to automorphic forms, Dichotomy for generic supercuspidal representations ofG₂, Construction of Theta Series of Any Vector-Valued Weight and Applications to Lifts and Congruences, On the Euler characteristic of the discrete spectrum, Periods and liftings: From \(G_2\) to \(C_3\), On \(G_2(\mathbb{F}_q)\)-invariants of representations of \(D_4(\mathbb{F}_q)\)., Eisenstein congruences for split reductive groups, Restrictions of quaternionic representations, An exceptional Siegel–Weil formula and poles of the Spin L-function of, A Siegel-Weil formula for exceptional groups