English

Some conjectures on modular representations of affine $\mathfrak{sl}_2$ and Virasoro algebra

Representation Theory 2018-01-31 v2 Quantum Algebra

Abstract

We conjecture an explicit bound on the prime characteristic of a field, under which the Weyl modules of affine sl2\mathfrak{sl}_2 and the minimal series modules of Virasoro algebra remain irreducible, and Goddard-Kent-Olive coset construction for affine sl2\mathfrak{sl}_2 is valid.

Keywords

Cite

@article{arxiv.1608.07896,
  title  = {Some conjectures on modular representations of affine $\mathfrak{sl}_2$ and Virasoro algebra},
  author = {Weiqiang Wang},
  journal= {arXiv preprint arXiv:1608.07896},
  year   = {2018}
}

Comments

v2, 7 pages, minor revision, consistent with journal version