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Open AccessArticle

Extending Structures for Lie 2-Algebras

by Yan Tan * and Zhixiang Wu
Mathematics Department, Zhejiang University, Hangzhou 310027, China
*
Author to whom correspondence should be addressed.
Mathematics 2019, 7(6), 556; https://doi.org/10.3390/math7060556
Received: 19 May 2019 / Revised: 10 June 2019 / Accepted: 12 June 2019 / Published: 18 June 2019
(This article belongs to the Special Issue General Algebraic Structures)
The extending structures problem for strict Lie 2-algebras is studied. To provide the theoretical answer to this problem, this paper introduces the unified product of a given strict Lie 2-algebra g and 2-vector space V. The unified product includes some interesting products such as semi-direct product, crossed product, and bicrossed product. The paper focuses on crossed and bicrossed products, which give the answer to the extension problem and factorization problem, respectively. View Full-Text
Keywords: strict Lie 2-algebra; extending structures problem; crossed product; unified product strict Lie 2-algebra; extending structures problem; crossed product; unified product
MDPI and ACS Style

Tan, Y.; Wu, Z. Extending Structures for Lie 2-Algebras. Mathematics 2019, 7, 556.

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