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Character formulas and Bernstein-Gelfand-Gelfand resolutions for Cherednik algebra modules

arXiv:1511.00748 · doi:10.1112/plms/pdw044

Abstract

We study blocks of category O for the Cherednik algebra having the property that every irreducible module in the block admits a BGG resolution, and as a consequence prove a character formula conjectured by Oblomkov-Yun.

34 pages, color figures