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math.RA2023
Lie triple 2-algebras
Tao Zhang, Zhang-Ju Liu
We invent a new cohomology theory for Lie triple algebras. Using this cohomology, we introduce the notions of 2-term -triple algebras and Lie triple 2-algebras. We prove…
math.RA2023
Deformations and extensions of homotopy associative algebras
Tao Zhang
The representation and the cohomology theory of associative 2-algebras are developed. We study the deformations and abelian extensions of associative 2-algebras in details.