Geometric construction of highest weight crystals for quantum generalized Kac-Moody algebras

DOI10.1007/s00208-011-0725-5zbMath1287.17032arXiv0908.1158OpenAlexW2112999949MaRDI QIDQ453310

Seok-Jin Kang, Masaki Kashiwara, Olivier Schiffmann

Publication date: 19 September 2012

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.1158

zbMATH Keywords

generalized Kac-Moody algebrasquiver varietycrystal bases

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Related Items (6)

Description of crystals for generalized Kac-Moody algebras using rigged configurations ⋮ Rigged configurations and the \(\ast \)-involution for generalized Kac-Moody algebras ⋮ Quantum Borcherds-Bozec algebras and their integrable representations ⋮ Classical limit of quantum Borcherds-Bozec algebras ⋮ CATEGORIFICATION OF QUANTUM GENERALIZED KAC–MOODY ALGEBRAS AND CRYSTAL BASES ⋮ Abstract crystals for quantum Borcherds–Bozec algebras

Cites Work

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• Geometric construction of crystal bases for quantum generalized Kac-Moody algebras
• Generalized Kac-Moody algebras
• On crystal bases of the \(q\)-analogue of universal enveloping algebras
• Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras
• Geometric construction of crystal bases
• Crystal bases and quiver varieties
• Canonical Bases Arising from Quantized Enveloping Algebras
• Crystal bases for quantum generalized kac–moody algebras
• Abstract Crystals for Quantum Generalized Kac-Moody Algebras

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