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

Lookup NU author(s): Dr Martina BalagovicORCiD, Dr Jordan Barnes

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This work is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).

Abstract

© 2024 The Authors. We study the rational Cherednik algebra Ht,c(S3,h) of type A2 in positive characteristic p, and its irreducible category O representations Lt,c(τ). For every possible value of p,t,c, and τ we calculate the Hilbert polynomial and the character of Lt,c(τ), and give explicit generators of the maximal proper graded submodule of the Verma module.

Publication metadata

Author(s): Balagovic M, Barnes J

Publication type: Article

Publication status: Published

Journal: Journal of Algebra

Year: 2025

Volume: 662

Pages: 307-406

Print publication date: 15/01/2025

Online publication date: 30/08/2024

Acceptance date: 17/07/2024

Date deposited: 13/08/2024

ISSN (print): 0021-8693

ISSN (electronic): 1090-266X

Publisher: Academic Press Inc.

URL: https://doi.org/10.1016/j.jalgebra.2024.08.014

DOI: 10.1016/j.jalgebra.2024.08.014

Data Access Statement: No data was used for the research described in the article.

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