Representations of the rational Cherednik algebra H_t,c(S₃,\h) in positive characteristic

2023/07/13 by Balagovic, Martina, Barnes, Jordan
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2307.06603

Abstract

We study the rational Cherednik algebra H_t,c(S₃,\h) of type A₂ in positive characteristic p, and its irreducible category O representations L_t,c(τ). For every possible value of p,t,c, and τ we calculate the Hilbert polynomial and the character of L_t,c(τ), and give explicit generators of the maximal proper graded submodule of the Verma module.

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