41 citations · 252 across the 36 of their papers we have counts for
5 papers · 1 filter
Symplectic, product and complex structures on 3-Lie algebras
Yunhe Sheng, Rong Tang
In this paper, first we introduce the notion of a phase space of a 3-Lie algebra and show that a 3-Lie algebra has a phase space if and only if it is sub-adjacent to a 3-pre-Lie al…
On non-abelian extensions of 3-Lie algebras
Lina Song, Abdenacer Makhlouf, Rong Tang
In this paper, we study non-abelian extensions of 3-Lie algebras through Maurer-Cartan elements. We show that there is a one-to-one correspondence between isomorphism classes of no…
Cohomologies, deformations and extensions of n-Hom-Lie algebras
Lina Song, Rong Tang
In this paper, first we give the cohomologies of an -Hom-Lie algebra and introduce the notion of a derivation of an -Hom-Lie algebra. We show that a derivation of an -Hom-…
Cohomology characterizations of non-abelian extensions of Hom-Lie algebras
Lina Song, Rong Tang
In this paper, first we show that under the assumption of the center of h being zero, diagonal non-abelian extensions of a regular Hom-Lie algebra g by a regular Hom-Lie algebra h…
Cohomological characterizations of non-abelian extensions of strict Lie 2-algebras
Rong Tang, Yunhe Sheng
In this paper, we study non-abelian extensions of strict Lie 2-algebras via the cohomology theory. A non-abelian extension of a strict Lie 2-algebra $\g$ by $\frkh$ gives rise to a…