EVERYWHERE UNRAMIFIED AUTOMORPHIC COHOMOLOGY FOR SL3(ℤ)

DOI10.1142/S1793042108001602zbMath1154.11019MaRDI QIDQ3526565

Avner Ash, David Pollack

Publication date: 25 September 2008

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

zbMATH Keywords

group cohomologyarithmetic groupsautomorphic representationssymmetric square lift

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Cohomology of arithmetic groups (11F75)

Related Items (5)

Level one algebraic cusp forms of classical groups of small rank ⋮ Classical forms of weight one in ordinary families ⋮ On level one cuspidal Bianchi modular forms ⋮ A method for computing general automorphic forms on general groups ⋮ Eisenstein congruences for split reductive groups

Cites Work

• Computations of cuspidal cohomology of congruence subgroups of SL(3,\({\mathbb{Z}})\)
• There are no abelian varieties over \(\mathbb Z\).
• A non-selfdual automorphic representation of \(\text{GL}_3\) and a Galois representation
• Modular representations of \(\text{GL}(3,\mathbb{F}_p)\), symmetric squares, and mod-\(p\) cohomology of \(\text{GL}(3,\mathbb{Z})\)
• Galois Representations, Hecke Operators, and the mod-p Cohomology of GL(3, Z) with Twisted Coefficients

This page was built for publication: EVERYWHERE UNRAMIFIED AUTOMORPHIC COHOMOLOGY FOR SL₃(ℤ)