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Keywords:
$F$-manifold; Poisson algebra; $F$-manifold algebra
$F$-manifold; Poisson algebra; $F$-manifold algebra
Summary:
$F$-manifold algebras are focused on the algebraic properties of the tangent sheaf of $F$-manifolds. The local classification of 3-dimensional $F$-manifolds has been given in A. Basalaev, C. Hertling (2021). We study the classification of 3-dimensional $F$-manifold algebras over the complex field $\mathbb {C}$.
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