Categorification of highest weight modules over quantum generalized Kac-Moody algebras

2011/06/14 by Seok-Jin Kang, Seok‐Jin Kang, Masaki Kashiwara +5
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.1106.2635

openalex publication_date 2011/06/14 · arxiv created 2012/02/26 · arxiv updated 2012/02/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let U_q(\g) be a quantum generalized Kac-Moody algebra and let V(Λ) be the integrable highest weight U_q(\g)-module with highest weight Λ. We prove that the cyclotomic Khovanov-Lauda-Rouquier algebra R^Λ provides a categorification of V(Λ).

Citations

• 2-Kac-Moody algebras

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