Vanishing of the cuspidal cohomology of congruence subgroups of \(\text{GL}_ n(\mathbb{Z})\)

DOI10.1007/BF01445250zbMath0866.11038MaRDI QIDQ1817305

Stéfane Fermigier

Publication date: 19 December 1996

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165453

zbMATH Keywords

cohomology groupsautomorphic \(L\)-functionsarithmetic groupscuspidal cohomology

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Cohomology of arithmetic groups (11F75)

Related Items

Level one algebraic cusp forms of classical groups of small rank ⋮ Discrete series multiplicities for classical groups over \(\mathbb{Z}\) and level 1 algebraic cusp forms ⋮ Serre's conjecture and its consequences ⋮ The highest lowest zero and other applications of positivity ⋮ Cohomology of congruence subgroups of \(\text{SL}_4(\mathbb Z)\)

Cites Work

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• Computations of cuspidal cohomology of congruence subgroups of SL(3,\({\mathbb{Z}})\)
• On the cuspidal cohomology of arithmetic subgroups of SL(2n) and the first Betti number of arithmetic 3-manifolds
• Unitary representations of Gl(n,R) with non-trivial (g,K)-cohomology
• Automorphic forms on GL (2)
• Doubly Cuspidal Cohomology for Principal Congruence Subgroups of GL(3,&#8484