CATEGORIFICATION OF QUANTUM GENERALIZED KAC–MOODY ALGEBRAS AND CRYSTAL BASES

DOI10.1142/S0129167X12501169zbMath1283.17014arXiv1102.5165OpenAlexW2962891978MaRDI QIDQ4908356

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

Publication date: 5 March 2013

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.5165

zbMATH Keywords

crystalscategorificationKhovanov-Lauda-Rouquier algebrasperfect basesquantum generalized Kac-Moody algebras

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) Graded rings and modules (associative rings and algebras) (16W50)

Related Items (7)

Rigged configurations and the \(\ast \)-involution for generalized Kac-Moody algebras ⋮ Folding procedure for Newton-Okounkov polytopes of Schubert varieties ⋮ Supercategorification of quantum Kac-Moody algebras. I, II ⋮ Quiver Hecke algebras for Borcherds-Cartan datum ⋮ Homological properties of finite-type Khovanov-Lauda-Rouquier algebras. ⋮ Mirkovic-Vilonen polytopes and Khovanov-Lauda-Rouquier algebras ⋮ Categorification of quantum Kac-Moody superalgebras

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