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

Authors

A Ash
PE Gunnells, University of Massachusetts - AmherstFollow
M McConnell

Publication Date

2008

Journal or Book Title

JOURNAL OF NUMBER THEORY

Abstract

In a previous paper [3] we computed cohomology groups H5(..0(N),C), where ..0(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 [3]. The cuspidal cohomology classes in this paper are the first cuspforms for GL(4) concretely constructed in terms of Betti cohomology.

Comments

This is the pre-published version harvested from ArXiv.

Pages

2263-2274

Volume

128

Issue

8

Recommended Citation

Ash, A; Gunnells, PE; and McConnell, M, "Cohomology of congruence subgroups of SL(4, Z) II" (2008). JOURNAL OF NUMBER THEORY. 394.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/394