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Lie triple 2-algebras

Published 9 Oct 2023 in math.RA and math.RT | (2310.13614v1)

Abstract: We invent a new cohomology theory for Lie triple algebras. Using this cohomology, we introduce the notions of 2-term $L_\infty$-triple algebras and Lie triple 2-algebras. We prove that the category of 2-term $L_\infty$-triple algebras is equivalent to the category of Lie triple 2-algebras. Crossed modules of Lie triple algebras are studied in detail.

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Authors (2)

  1. Tao Zhang 
  2. Zhang-Ju Liu 

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