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· 2025

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math.RA 1

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2026 1

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On $q$-pre-Lie algebras

math.RA · 2026-07-09 · accept · novelty 6.5

q-pre-Lie algebras unify pre-Lie and anti-pre-Lie; graded ones on Witt are classified by a single parameter λ, none exist on Virasoro (q≠1), and only sl2 among simple Lie algebras admits root-graded examples (q=2 or -1).

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  • On $q$-pre-Lie algebras math.RA · 2026-07-09 · accept · none · ref 1

    q-pre-Lie algebras unify pre-Lie and anti-pre-Lie; graded ones on Witt are classified by a single parameter λ, none exist on Virasoro (q≠1), and only sl2 among simple Lie algebras admits root-graded examples (q=2 or -1).