Findings show conditions for Kac-Moody algebras to have minimal gradation, suggesting pathways for further study.
We show a sufficient condition for an indefinite Kac-Moody algebra to admit minimal Z-gradation with local part given by an integrable highest weight module.Examples of orbit Lie algebras arising from 2-fold affinization and Lorentzian Kac-Moody algebras are discussed.
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Gan et al. (2017) studied this question.
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