A generalisation of the category O of Bernstein-Bernstein-Gelfand

2009/12/16 by Guillaume Tomasini, Tomasini, Guillaume
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.0912.3242

openalex publication_date 2009/12/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Given a reductive Lie algebra over the complex numbers, we introduce a family of category which generalises the BGG category O. We also classify the simple modules for some of these categories and prove a semisimplicity result.

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