Extending Structures for Lie 2-Algebras

Yan Tan and Zhixiang Wu
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Yan Tan: Mathematics Department, Zhejiang University, Hangzhou 310027, China
Zhixiang Wu: Mathematics Department, Zhejiang University, Hangzhou 310027, China

Mathematics, 2019, vol. 7, issue 6, 1-18

Abstract: 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.

Keywords: strict Lie 2-algebra; extending structures problem; crossed product; unified product (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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