English

On Certain Tilting Modules for SL2

Representation Theory 2017-09-20 v3

Abstract

We give a complete picture of when the tensor product of an induced module and a Weyl module is a tilting module for the algebraic group SL2SL_2 over an algebraically closed field of characteristic pp. Whilst the result is recursive by nature, we give an explicit statement in terms of the pp-adic expansions of the highest weight of each module.

Keywords

Cite

@article{arxiv.1705.06980,
  title  = {On Certain Tilting Modules for SL2},
  author = {Samuel Martin},
  journal= {arXiv preprint arXiv:1705.06980},
  year   = {2017}
}
R2 v1 2026-06-22T19:52:28.658Z