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math.QA2013★ 5 cited
On the infinity category of homotopy Leibniz algebras
David Khudaverdyan, Norbert Poncin, Jian Qiu
We discuss various concepts of -homotopies, as well as the relations between them (focussing on the Leibniz type). In particular --homotopies appear as the -s…
math.QA2010★ 4 cited
Higher categorified algebras versus bounded homotopy algebras
David Khudaverdyan, Ashis Mandal, Norbert Poncin
We define Lie 3-algebras and prove that these are in 1-to-1 correspondence with the 3-term Lie infinity algebras whose bilinear and trilinear maps vanish in degree (1,1) and in tot…