Work

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

Year: 2021
Type: preprint
Abstract: We outline an algorithm for computing Hecke operators on equivariant cohomology $H^\ast_{Γ_{\text{Sp}}}(X_{\text{Sp}};ρ)$ 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.
Language: English
Open Access status: green
OpenAlex ID: W3206514141
Cites: 12
Cited by:
Related to: 10