The cuspidal cohomology of \(\mathrm{GL}_3/\mathbb Q\) and cubic fields

DOI10.1142/s1793042124500829MaRDI QIDQ6594424

Avner Ash, Dan Yasaki

Publication date: 28 August 2024

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

zbMATH Keywords

general linear grouparithmetic groupSteinberg representationtotally real cubic fieldcuspidal cohomologyarithmetic homologyGalois cubic field

Mathematics Subject Classification ID

Cohomology of groups (20J06) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Cohomology of arithmetic groups (11F75)

Cites Work

• Resolutions of the Steinberg module for \(\mathrm{GL}(n)\)
• The modular symbol and continued fractions in higher dimensions
• The Magma algebra system. I: The user language
• KANT V4
• Corners and arithmetic groups (Appendice: Arrondissement des varietes a coins par A. Douady et L. Herault)
• Steinberg homology, modular forms, and real quadratic fields
• Cohomology of congruence subgroups of \(\mathrm{SL}_3(\mathbb{Z})\), Steinberg modules, and real quadratic fields
• Heeke Eigenforms in the Cohomology of Congruence Subgroups of SL(3, Z)

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