Perfect bases for integrable modules over generalized Kac-Moody algebras

DOI10.1007/s10468-009-9204-zzbMath1283.17017OpenAlexW2051035572MaRDI QIDQ409228

Euiyong Park, Seok-Jin Kang, Se-jin Oh

Publication date: 12 April 2012

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-009-9204-z

zbMATH Keywords

generalized Kac-Moody algebrascrystal basesperfect bases

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Related Items (5)

Supercategorification of quantum Kac-Moody algebras. I, II ⋮ Categorical actions on unipotent representations of finite unitary groups ⋮ Categorical actions on unipotent representations of finite classical groups ⋮ CATEGORIFICATION OF QUANTUM GENERALIZED KAC–MOODY ALGEBRAS AND CRYSTAL BASES ⋮ Newton-Okounkov bodies for Bott-Samelson varieties and string polytopes for generalized Demazure modules

Cites Work

• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Generalized Kac-Moody algebras
• On crystal bases of the \(q\)-analogue of universal enveloping algebras
• Global crystal bases of quantum groups
• Monstrous moonshine and monstrous Lie superalgebras
• Quantum deformations of generalized Kac-Moody algebras and their modules
• Crystalizing the q-analogue of universal enveloping algebras
• Crystal bases for quantum generalized kac–moody algebras
• Abstract Crystals for Quantum Generalized Kac-Moody Algebras
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