English

Computing Invariants of the Weil representation

Number Theory 2017-05-15 v1

Abstract

We propose an algorithm for computing bases and dimensions of spaces of invariants of Weil representations of SL2(Z)\mathrm{SL}_2(\mathbb{Z}) associated to finite quadratic modules. We prove that these spaces are defined over Z\mathbb{Z}, and that their dimension remains stable if we replace the base field by suitable finite prime fields.

Keywords

Cite

@article{arxiv.1705.04572,
  title  = {Computing Invariants of the Weil representation},
  author = {Stephan Ehlen and Nils-Peter Skoruppa},
  journal= {arXiv preprint arXiv:1705.04572},
  year   = {2017}
}

Comments

15 pages, submitted

R2 v1 2026-06-22T19:45:17.988Z