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Extending Structures for Lie 2-Algebras

Author

Listed:
  • Yan Tan

    (Mathematics Department, Zhejiang University, Hangzhou 310027, China)

  • Zhixiang Wu

    (Mathematics Department, Zhejiang University, Hangzhou 310027, China)

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.

Suggested Citation

  • Yan Tan & Zhixiang Wu, 2019. "Extending Structures for Lie 2-Algebras," Mathematics, MDPI, vol. 7(6), pages 1-18, June.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:6:p:556-:d:240935
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