Computing Hecke operators for arithmetic subgroups of Sp₄

2021/10/12 by Galt, Dylan, McConnell, Mark
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2110.05694

Abstract

We outline an algorithm for computing Hecke operators on equivariant cohomology H^∗_Γ_Sp(X_Sp;ρ) for the symplectic group Sp₄(ℝ). To do this, we define a new acyclic cell complex for Sp₄(ℝ) and make use of the well-tempered complex.

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