Twisting of Lie triple systems, $L_\infty$-algebras, and (generalized)
matched pairs
Twisting of Lie triple systems, $L_\infty$-algebras, and (generalized)
matched pairs
In this paper, we introduce notions of (proto-, quasi-)twilled Lie triple systems and give their equivalent descriptions using the controlling algebra and bidegree convention. Then we construct an $L_\infty$-algebra via a twilled Lie triple system. Besides, we establish the twisting theory of Lie triple systems and then characterize the twisting …