Heeke Eigenforms in the Cohomology of Congruence Subgroups of SL(3, Z)

DOI10.1080/10586458.1997.10504604zbMath1088.11037OpenAlexW2141567695MaRDI QIDQ4369746

Bert van Geemen, Jaap Top, Alain Verberkmoes, Wilberd van der Kallen

Publication date: 5 May 1999

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/228399

Mathematics Subject Classification ID

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

Related Items

Computing Heeke Eigenvalues Below the Cohomologieal Dimension, Computing homology using generalized Gröbner bases, Cohomology of congruence subgroups of \(\mathrm{SL}_3(\mathbb{Z})\), Steinberg modules, and real quadratic fields, Hecke Operators and Hilbert Modular Forms, Cohomology of congruence subgroups of $ {SL}_4(\mathbb {Z})$. III, Unnamed Item, On the Cohomology of Congruence Subgroups of GL₃ over the Eisenstein Integers, Lectures on Computing Cohomology of Arithmetic Groups, Galois Representations, Hecke Operators, and the mod-p Cohomology of GL(3, Z) with Twisted Coefficients, Cohomology of congruence subgroups of \(\text{SL}_4(\mathbb Z)\)

Cites Work

• An \(\widehat{A_4}\) extension of \({\mathbb{Q}}\) attached to a non-selfdual automorphic form on \(GL(3)\)
• Computations of cuspidal cohomology of congruence subgroups of SL(3,\({\mathbb{Z}})\)
• A modification of the LLL reduction algorithm
• The modular symbol and continued fractions in higher dimensions
• Factoring polynomials with rational coefficients
• Représentations galoisiennes associées aux représentations automorphes autoduales de \(GL(n)\). (Galois representations associated with self-dual automorphic representations of \(GL(n)\))
• A non-selfdual automorphic representation of \(\text{GL}_3\) and a Galois representation
• Old Forms on GL n
• Experimental Indications of Three-dimensional Galois Representations from the Cohomology of SL(3, Z)