A. Ash

collaborators

2 papers

math.NT2024

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…

math.AT2024

Hopf algebras, Steinberg modules, and the unstable cohomology of $S L_{n} (Z)$ and $G L_{n} (Z)$

Avner Ash, Jeremy Miller, Peter Patzt

We prove that the direct sum of all homology groups of the integral general linear groups with Steinberg module coefficients form a commutative Hopf algebra, in particular a free g…

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

Hopf algebras, Steinberg modules, and the unstable cohomology of SLn​(Z) and GLn​(Z)

Hopf algebras, Steinberg modules, and the unstable cohomology of $S L_{n} (Z)$ and $G L_{n} (Z)$