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math.RA2015★ 2 cited
Generalized derivations of -Lie algebras
Ruipu Bai, Qiyong Li, Kai Zhang
Generalized derivations, quasiderivations and quasicentroid of -algebras are introduced, and basic relations between them are studied. Structures of quasiderivations and quasice…
math.RT2015
Infinite Dimensional 3-Lie Algebras and Their Connections to Harish-Chandra Modules
Ruipu Bai, Zhenheng Li, Weidong Whang
In this paper we construct two kinds of infinite-dimensional 3-Lie algebras from a given commutative associative algebra, and show that they are all canonical Nambu 3-Lie algebras.…
math-ph2015
Homogeneous Rota-Baxter operators on -Lie algebra
Ruipu Bai, Yinghua Zhang
In the paper we study homogeneous Rota-Baxter operators with weight zero on the infinite dimensional simple -Lie algebra over a field ( ) which is realized by…