41 citations · 252 across the 36 of their papers we have counts for
4 papers · 1 filter
Actions of monoidal categories and representations of Cartan type Lie algebras
Yufeng Pei, Yunhe Sheng, Rong Tang +1
Using crossed homomorphisms, we show that the category of weak representations (resp. admissible representations) of Lie-Rinehart algebras (resp. Leibniz pairs) is a left module ca…
Cohomologies of a Lie algebra with a derivation and applications
Rong Tang, Yael Fregier, Yunhe Sheng
The main object of study of this paper is the notion of a LieDer pair, i.e. a Lie algebra with a derivation. We introduce the concept of a representation of a LieDer pair and study…
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…
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…