On the decomposition of symmetric powers of automorphic representations for \(\mathrm{GL}(3)\) and \(\mathrm{GL}(4)\)

DOI10.1016/J.JNT.2022.01.014OpenAlexW4224942198WikidataQ114156578 ScholiaQ114156578MaRDI QIDQ2167500

Nahid Walji

Publication date: 25 August 2022

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.14235

zbMATH Keywords

automorphic L-functionsLanglands conjecturessymmetric power lifts

Mathematics Subject Classification ID

Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Cites Work

• Unnamed Item
• Modularity of the Rankin-Selberg \(L\)-series, and multiplicity one for \(\mathrm{SL}(2)\)
• Cuspidality of symmetric powers with applications.
• A Cuspidality Criterion for the Exterior Square Transfer of Cusp Forms on GL(4)
• La correspondance de Robinson
• A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$
• Functorial products for GL2×GL3 and functorial symmetric cube for GL2
• Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
• Relations between cusp forms sharing Hecke eigenvalues
• Remarks on the symmetric powers of cusp forms on GL(2)
• Distinguishing finite group characters and refined local-global phenomena

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