Cohomology with Sym^g coefficients for congruence subgroups of SL_4(Z) and Galois representations

Avner Ash, Paul E. Gunnells, Mark McConnell

We extend the computations in our prior work to find the cohomology in degree five of a congruence subgroup Gamma of SL_4(Z) with coefficients in Sym^g(K^4), twisted by a nebentype…