Supports of simple modules in cyclotomic Cherednik categories O

2015/09/01 by Losev, Ivan
#05E10 #16G99 #17B67 #20F55 #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1509.00526

Abstract

The goal of this paper is to compute the supports of simple modules in the categories O for the rational Cherednik algebras associated to groups G(ℓ,1,n). For this we compute some combinatorial maps on the set of simples: wall-crossing bijections and a certain \mathfraksl_∞-crystal associated to a Heisenberg algebra action on a Fock space.

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