English

Tilting modules and torsion phenomena

Representation Theory 2021-12-09 v2

Abstract

We construct families of representations for quantum groups over Z[v,v1]\mathbb{Z}[v,v^{-1}]-algebras that interpolate between Weyl modules and tilting modules. These families might be candidates for objects with characters satisfying the {\em generations of characters} philosophy of Lusztig and Lusztig-Williamson.

Keywords

Cite

@article{arxiv.2009.08677,
  title  = {Tilting modules and torsion phenomena},
  author = {Peter Fiebig},
  journal= {arXiv preprint arXiv:2009.08677},
  year   = {2021}
}

Comments

25 pages. Revised version. Change of the title

R2 v1 2026-06-23T18:38:01.057Z