Computing Hecke operators for arithmetic subgroups of ${\text{Sp}}_4$

Abstract

We outline an algorithm for computing Hecke operators on equivariant cohomology $H_{{\Gamma }_{\text{Sp}}}^{\ast }(X_{\text{Sp}};\rho )$ for the symplectic group ${\text{Sp}}_4(\mathbb{R})$. To do this, we define a new acyclic cell complex for ${\text{Sp}}_4(\mathbb{R})$ and make use of the well-tempered complex.

arXiv commentarXiv admin note: text overlap with arXiv:2010.06036

References in corpus (1)

• Computing Hecke Operators for Arithmetic Subgroups of General Linear Groups