Geometric Construction of Highest Weight Crystals for Quantum Generalized Kac-Moody Algebras

2009/08/08 by Seok‐Jin Kang, Seok-Jin Kang, Masaki Kashiwara +4
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #math.QA

paper · pdf · doi:10.48550/arxiv.0908.1158

17 pages, Latex

arxiv created 2009/08/08 · openalex publication_date 2009/08/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a geometric construction of highest weight crystals for quantum generalized Kac-Moody algebras. It is given in terms of the irreducible components of certain Lagrangian subvarieties of Nakajima's quiver varieties associated to quivers with edge loops.

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