Quantum Borcherds-Bozec algebras and their integrable representations

DOI10.1016/j.jpaa.2020.106388zbMath1475.17023arXiv1912.06115OpenAlexW3014731831MaRDI QIDQ2176096

Seok-Jin Kang, Young Rock Kim

Publication date: 4 May 2020

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.06115

zbMATH Keywords

character formulatriangular decompositioncomplete reducibilityintegrable representationquantum Borcherds-Bozec algebra

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) Representations of quivers and partially ordered sets (16G20)

Related Items (3)

Global bases for quantum Borcherds-Bozec algebras ⋮ Classical limit of quantum Borcherds-Bozec algebras ⋮ Abstract crystals for quantum Borcherds–Bozec algebras

Cites Work

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• Quivers with loops and generalized crystals
• On the number of points of nilpotent quiver varieties over finite fields
• Canonical Bases Arising from Quantized Enveloping Algebras
• Crystal bases for quantum generalized kac–moody algebras
• Borcherds–Bozec algebras, root multiplicities and the Schofield construction
• Introduction to quantum groups

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