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math.RA2026
Non-degenerate bilinear forms and left-symmetric structures
Naoki Kato
Chu proved that a symplectic structure on an even-dimensional Lie algebra induces a left-symmetric structure which is defined by . El Bourk…
math.RA2025
Infinitely many left-symmetric structures on nilpotent Lie algebras
Naoki Kato
Dekimpe and Ongenae constructed infinitely many pairwise non-isomorphic complete left-symmetric structures on for . In this paper, we construct a family of…