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Universal Enveloping Algebras of Hom-Lie Algebras with -Derivations
Zhangqiuyu Jiang, Chuangchuang Kang, Jiafeng Lü
In this paper, we construct nonunital universal enveloping Hom-associative algebras for multiplicative Hom-Lie algebras equipped with -derivations. We prove that the prescribed…
Matched pairs and double construction bialgebras of (transposed) Poisson 3-Lie algebras
Kecheng Zhou, Chuangchuang Kang, Jiafeng Lü
Double construction bialgebras for Poisson 3-Lie algebras and transposed Poisson 3-Lie algebras are defined and studied using matched pairs. Poisson 3-Lie algebras and transposed P…
Manin triples, bialgebras and Yang-Baxter equation of -associative algebras
Yaxi Jiang, Chuangchuang Kang, Jiafeng Lü
-associative algebra is a generalization of associative algebra and is one of the four remarkable types of Lie-admissible algebras, along with associative algebra, left-symmet…
Relative torsionfreeness and Frobenius extensions
Yanhong Bao, Jiafeng Lü, Zhibing Zhao
Let be a Frobenius extension with centrally projective over . We show that if is a Wakamatsu tilting module then so is , and the natural ring…
Classification of Transposed Poisson 3-Lie algebras of dimension 3
Jiang Yaxi, Kang Chuangchuang, Lü Jiafeng
Transposed Poisson -Lie algebra is a dual notion of Nambu-Poisson algebra of order 3. In this paper, we explicitly determine all -derivations and automorphisms of t…
Manin triples associated to -Lie bialgebras
Ying Chen, Chuangchuang Kang, Jiafeng Lü +1
In this paper, we study the Manin triples associated to -Lie bialgebras. We introduce the concept of operad matrices for -Lie bialgebras. In particular, by studying a special…