5 citations · 9 across the 3 of their papers we have counts for
4 papers
Higher Lie and Leibniz algebras
David Khudaverdyan
Higher structures - infinity algebras and other objects up to homotopy, categorified algebras, `oidified' concepts, operads, higher categories, higher Lie theory, higher gauge theo…
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…
The Supergeometry of Loday Algebroids
Janusz Grabowski, David Khudaverdyan, Norbert Poncin
A new concept of Loday algebroid (and its pure algebraic version - Loday pseudoalgebra) is proposed and discussed in comparison with other similar structures present in the literat…
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…