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

DOI10.25537/dm.2019v24.95-161zbMath1475.20083arXiv1606.02991MaRDI QIDQ1738361

Gaëtan Chenevier

Publication date: 16 April 2019

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

Full work available at URL: https://arxiv.org/abs/1606.02991

zbMATH Keywords

automorphic formsGalois representationsLanglands conjecturesexceptional group \(\mathrm{G}_2\)subgroups of \(\mathrm{SO}(7)\)

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Galois representations (11F80) Compact groups (22C05) Exceptional groups (20G41)

Related Items

Discrete series multiplicities for classical groups over \(\mathbb{Z}\) and level 1 algebraic cusp forms, The Local Langlands Conjecture for, Computing finite Galois groups arising from automorphic forms, A local Langlands parameterization for generic supercuspidal representations of $p$-adic $G_2$, Arthur's multiplicity formula for \(\mathrm{GSp}_4\) and restriction to \(\mathrm{Sp}_4\), Potential automorphy of \(\mathrm{GSpin}_{2n+1}\)-valued Galois representations, Acceptable compact Lie groups, An exceptional Siegel–Weil formula and poles of the Spin L-function of

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