Crystal isomorphisms and wall-crossing maps for rational Cherednik algebras

2016/03/07 by Nicolas Jacon, Jacon, Nicolas, Cédric Lecouvey +1
Mathematics · #FOS: Mathematics #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.1603.02220

arxiv created 2016/03/25 · arxiv updated 2016/03/28

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.

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