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math.RA2022★ 21 cited
Transposed Poisson structures on Galilean and solvable Lie algebras
Ivan Kaygorodov, Viktor Lopatkin, Zerui Zhang
Transposed Poisson structures on complex Galilean type Lie algebras and superalgebras are described. It was proven that all principal Galilean Lie algebras do not have non-trivial…
math.RA2022
Products of commutator ideals of some Lie-admissible algebras
Ivan Kaygorodov, Farukh Mashurov, Tran Giang Nam +1
In this article, we mainly study the products of commutator ideals of Lie-admissible algebras such as Novikov algebras, bicommutative algebras, and assosymmetric algebras. More pre…
math.RA2022
Operads with trivial -actions
Yu Li, Zihao Qi, Yongjun Xu +3
We study operads with trivial -actions and prove an equivalence between the category of -trivial operads and that of pseudo-graded-Perm associative algebras…