Resolutions of standard modules over KLR algebras of type $A$

Doeke Buursma; Alexander Kleshchev; David J. Steinberg

Resolutions of standard modules over KLR algebras of type $A$

Representation Theory 2019-06-28 v1

Authors: Doeke Buursma , Alexander Kleshchev , David J. Steinberg

Abstract

Khovanov-Lauda-Rouquier algebras $R_\theta$ of finite Lie type are affine quasihereditary with standard modules $\Delta(\pi)$ labeled by Kostant partitions $\pi$ of $\theta$ . In type $A$ , we construct explicit projective resolutions of standard modules $\Delta(\pi)$ .

Keywords

KLR algebras type A standard modules projective resolutions Kostant partitions affine quasihereditary

Cite

@article{arxiv.1906.11376,
  title  = {Resolutions of standard modules over KLR algebras of type $A$},
  author = {Doeke Buursma and Alexander Kleshchev and David J. Steinberg},
  journal= {arXiv preprint arXiv:1906.11376},
  year   = {2019}
}

Related papers

View all related →