Degenerations of Poisson-type algebras
arxiv(2024)
摘要
The degenerations of Poisson-type algebras are studied in the following
varieties in dimension two: Leibniz–Poisson algebras, transposed
Leibniz–Poisson algebras, Novikov–Poisson algebras, commutative pre-Lie
algebras, anti-pre-Lie Poisson algebras and pre-Poisson algebras. For these
varieties, the algebraic and geometric classifications are given. Also, the
complete graph of degenerations is obtained, together with the description of
the orbit closures of each of its algebras and parametric families up to
isomorphism.
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