3-Pre-李超代数

Journal of Jilin University Science Edition ›› 2019, Vol. 57 ›› Issue (5): 997-1002.

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3-Pre-Lie Superalgebras

HU Mengru, WANG Bo, ZHANG Qingcheng

School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China

Received:2019-03-21 Online:2019-09-26 Published:2019-09-17
Contact: ZHANG Qingcheng E-mail:zhangqc569@nenu.edu.cn

Abstract

Abstract: By giving the concept of 3-pre-Lie superalgebras and the definition of O-superoperators, we discussed the basic properties of 3-pre-Lie superalgebras, and constructed the solution of the 3-Lie super classical Yang-Baxter equation by means of the sub-adjacent 3-Lie superalgebras derived from 3-pre-Lie superalgebras.

Key words: 3-pre-Lie superalgebra, O-super-operator, sub-adjacent 3-Lie superalgebra, 3-Lie super classical Yang-Baxter equation

CLC Number:

O152.5

HU Mengru, WANG Bo, ZHANG Qingcheng. 3-Pre-Lie Superalgebras[J].Journal of Jilin University Science Edition, 2019, 57(5): 997-1002.

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3-Pre-Lie Superalgebras

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