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Supercategorification of quantum Kac-Moody Algebras

2012/06/26 by Seok‐Jin Kang, Masaki Kashiwara, Kang, Seok-Jin +3
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1206.5933

openalex publication_date 2012/06/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the quiver Hecke superalgebras and their cyclotomic quotients provide a supercategorification of quantum Kac-Moody algebras and their integrable highest weight modules.

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