32 citations · 116 across the 14 of their papers we have counts for
4 papers · 1 filter
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…
Lower Central Series Ideal Quotients Over F_p and Z
Yael Fregier, Isaac Xia
Given a graded associative algebra , its lower central series is defined by and . We consider successive quotients ,…
Non abelian cohomology of extensions of Lie algebras as Deligne groupoid
Yael Fregier
In this note we show that the theory of non abelian extensions of a Lie algebra by a Lie algebra can be understood in terms of a differential graded L…
Deformation of the Heisenberg Algebra inside
Yael Fregier
We study non-trivial deformations of the natural imbedding of the Lie algebra $\fh_1$ of lower triangular matrices (the Heisenberg Lie algebra) into , where $\mat…