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math.QA2025
Graded anti-pre-Lie algebraic structures on Witt and Virasoro algebras
Chengming Bai, Dongfang Gao
We give the graded anti-pre-Lie algebraic structures on the Witt algebra by the classification of certain indecomposable weight representations of . Their…
math.QA2025
Compatible root graded anti-pre-Lie algebraic structures on finite-dimensional complex simple Lie algebras
Chengming Bai, Dongfang Gao
We investigate the compatible root graded anti-pre-Lie algebraic structures on any finite-dimensional complex simple Lie algebra by the representation theory of ${\rm sl_2(\C)}$. W…