English

On modular group representations associated to SO$(p)_2$-TQFTs

Quantum Algebra 2017-03-30 v3

Abstract

In this paper, we prove that for any odd prime larger than 3, the modular group representation associated to the SO(p)2(p)_2-TQFT can be defined over the ring of integers of a cyclotomic field. We will provide explicit integral bases. In the last section, we will relate these representations to the Weil representations over finite fields.

Keywords

Cite

@article{arxiv.1702.03798,
  title  = {On modular group representations associated to SO$(p)_2$-TQFTs},
  author = {Yilong Wang},
  journal= {arXiv preprint arXiv:1702.03798},
  year   = {2017}
}

Comments

21 pages; corrected typos

R2 v1 2026-06-22T18:16:53.956Z