English

Modular curves, invariant theory and $E_8$

Number Theory 2017-06-09 v4 Algebraic Geometry Representation Theory

Abstract

The E8E_8 root lattice can be constructed from the modular curve X(13)X(13) by the invariant theory for the simple group PSL(2,13)\text{PSL}(2, 13). This gives a different construction of the E8E_8 root lattice. It also gives an explicit construction of the modular curve X(13)X(13).

Keywords

Cite

@article{arxiv.1704.01735,
  title  = {Modular curves, invariant theory and $E_8$},
  author = {Lei Yang},
  journal= {arXiv preprint arXiv:1704.01735},
  year   = {2017}
}

Comments

39 pages. arXiv admin note: text overlap with arXiv:1511.05278

R2 v1 2026-06-22T19:09:26.144Z