Product and Complex Structures on 3-Bihom-Lie Algebras
作者机构：School of Mathematical SciencesVisual Computing and Virtual Reality Key Laboratory of Sichuan ProvinceSichuan Normal UniversityChengdu 610068China College of ScienceNortheast Forestry UniversityHarbin 150040China School of Mathematics and StatisticsNortheast Normal UniversityChangchun 130024China
出 版 物：《Algebra Colloquium》 (代数集刊（英文版）)
年 卷 期：2023年第30卷第4期
页 面：685-700页
核心收录：
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
基 金：Supported by NNSF of China(No.12271085 and No.12071405) supported by Sichuan Science and Technology Program(No.2023NSFSC1287)
主 题：3-Bihom-Lie algebras product structures complex structures complex product structures
摘 要：In this paper,we introduce the notion of a product structure on a 3-Bihom-Lie algebra,which is a Nijenhuis operator with some *** prove that a 3-Bihom-Lie algebra has a product structure if and only if it is the direct sum of two vector spaces which are also *** we give four special conditions under each of which a 3-Bihom-Lie algebra has a special ***,we introduce a complex structure on a 3-Bihom-Lie algebra and there are also four types of special complex ***,we establish the relation between a complex structure and a product structure.
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