Hom-Lie structures on Kac-Moody algebras

Abstract

We describe Hom-Lie structures on affine Kac-Moody and related Lie algebras, and discuss the question when they form a Jordan algebra.

arXiv commentv3: minor stylistic changes

References in corpus (6)

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Cited by in corpus (7)

• Transposed Poisson structures
• Equivariant one-parameter formal deformations of Hom-Leibniz algebras
• Cup-product in Hom-Leibniz cohomology and Hom-Zinbiel algebras
• When Hom-Lie structures form a Jordan algebra
• Ado theorem for nilpotent Hom-Lie algebras
• Matching Hom-Setting of Rota-Baxter algebras, dendriform algebras and pre-Lie algebras
• On $\alpha$-type (equivariant) cohomology of Hom-pre-Lie algebras