Lie triple 2-algebras
Abstract
We invent a new cohomology theory for Lie triple algebras. Using this cohomology, we introduce the notions of 2-term L∞-triple algebras and Lie triple 2-algebras. We prove that the category of 2-term L∞-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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