Cohomology of congruence subgroups of SL (4, Z) II

Avner Ash, Paul E. Gunnells, Mark McConnell

Research output: Contribution to journalArticle

11 Scopus citations

Abstract

In a previous paper [Avner Ash, Paul E. Gunnells, Mark McConnell, Cohomology of congruence subgroups of SL4 (Z), J. Number Theory 94 (2002) 181-212] we computed cohomology groups H50 (N), C), where Γ0 (N) is a certain congruence subgroup of SL (4, Z), for a range of levels N. In this note we update this earlier work by extending the range of levels and describe cuspidal cohomology classes and additional boundary phenomena found since the publication of [Avner Ash, Paul E. Gunnells, Mark McConnell, Cohomology of congruence subgroups of SL4 (Z), J. Number Theory 94 (2002) 181-212]. The cuspidal cohomology classes in this paper are the first cuspforms for GL (4) concretely constructed in terms of Betti cohomology.

Original languageEnglish (US)
Pages (from-to)2263-2274
Number of pages12
JournalJournal of Number Theory
Volume128
Issue number8
DOIs
StatePublished - Aug 1 2008
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Keywords

  • Automorphic forms
  • Cohomology of arithmetic groups
  • Eisenstein cohomology
  • Hecke operators
  • Siegel modular forms

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