English

Crystal isomorphisms and wall-crossing maps for rational Cherednik algebras

Representation Theory 2016-03-28 v2

Abstract

We show that the wall crossing bijections between simples of the category O of the rational Cherednik algebras reduce to particular crystal isomorphisms which can be computed by a simple combinatorial procedure on multipartitions of fixed rank.

Keywords

Cite

@article{arxiv.1603.02220,
  title  = {Crystal isomorphisms and wall-crossing maps for rational Cherednik algebras},
  author = {Nicolas Jacon and Cédric Lecouvey},
  journal= {arXiv preprint arXiv:1603.02220},
  year   = {2016}
}