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Cohomology of Congruence Subgroups of SL4(Z)

โœ Scribed by Avner Ash; Paul E. Gunnells; Mark McConnell

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
226 KB
Volume
94
Category
Article
ISSN
0022-314X

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โœฆ Synopsis

Let N > 1 be an integer, and let C=C 0 (N) โ€ฆ SL 4 (Z) be the subgroup of matrices with bottom row congruent to (0, 0, 0, *) modN. We compute H 5 (C; C) for a range of N and compute the action of some Hecke operators on many of these groups. We relate the classes we find to classes coming from the boundary of the Borel-Serre compactification, to Eisenstein series, and to classical holomorphic modular forms of weights 2 and 4.

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