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math.NT2018
Cohomology with twisted one-dimensional coefficients for congruence subgroups of SL(4,Z) and Galois representations
Avner Ash, Paul E. Gunnells, Mark McConnell
We extend the computations in [AGM1, AGM2, AGM3] to find the cohomology in degree five of a congruence subgroup Gamma of SL(4,Z) with coefficients in a field K, twisted by a nebent…
math.NT2018
On the cohomology of congruence subgroups of GL3 over the Eisenstein integers
Paul E. Gunnells, Mark McConnell, Dan Yasaki
Let F be the imaginary quadratic field of discriminant -3 and OF its ring of integers. Let Gamma be the arithmetic group GL_3 (OF), and for any ideal n subset OF let Gamma_0 (n) be…