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

Dylan Galt; Mark McConnell

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

Number Theory 2021-10-13 v1

Authors: Dylan Galt , Mark McConnell

Abstract

We outline an algorithm for computing Hecke operators on equivariant cohomology $H^\ast_{\Gamma_{\text{Sp}}}(X_{\text{Sp}};\rho)$ 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.

Keywords

hecke algebra

Cite

@article{arxiv.2110.05694,
  title  = {Computing Hecke operators for arithmetic subgroups of $\text{Sp}_4$},
  author = {Dylan Galt and Mark McConnell},
  journal= {arXiv preprint arXiv:2110.05694},
  year   = {2021}
}

Comments

arXiv admin note: text overlap with arXiv:2010.06036

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