Automorphic tensor products and cuspidal cohomology of the GL4

DOI10.1142/S1793042123500549arXiv2111.05753OpenAlexW4310995251MaRDI QIDQ6159575

Sudipa Mondal, Chandrasheel Bhagwat

Publication date: 8 May 2023

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

Full work available at URL: https://arxiv.org/abs/2111.05753

zbMATH Keywords

cusp formsautomorphic representationscuspidal cohomology

Mathematics Subject Classification ID

Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41) Cohomology of arithmetic groups (11F75)

Cites Work

• Modularity of the Rankin-Selberg \(L\)-series, and multiplicity one for \(\mathrm{SL}(2)\)
• On the growth of cuspidal cohomology of \(\operatorname{GL}_4\)
• On the growth of cuspidal cohomology of \(\mathrm{GL}(2)\) and \(\mathrm{GL}(3)\)
• A Cuspidality Criterion for the Exterior Square Transfer of Cusp Forms on GL(4)
• Functoriality and special values of L-functions
• Local Rankin-Selberg convolutions for 𝐺𝐿_{𝑛}: Explicit conductor formula
• Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
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