17 citations · 24 across the 22 of their papers we have counts for
5 papers · 1 filter
Deformations of Lie 2-algebras
Zhangju Liu, Yunhe Sheng, Tao Zhang
In this paper, we consider deformations of Lie 2-algebras via the cohomology theory. We prove that a 1-parameter infinitesimal deformation of a Lie 2-algebra $\g$ corresponds to a…
Omni-Lie Color Algebras and Lie Color 2-Algebras
Tao Zhang
The notions of Lie color 2-algebras and 2-term color L-infty-algebras over a group-graded vector space are introduced and studied. It is proved that the category of Lie color 2-alg…
Comodule Hom-coalgebras
Tao Zhang
We introduce the concept of comodule Hom-coalgebras and show that comodule Hom-coalgebras can be deformed from comodule coalgebras via endomorphisms.
Omni-Lie Superalgebras and Lie 2-superalgebras
Tao Zhang, Zhangju Liu
We introduce the notion of omni-Lie superalgebra as a super version of the omni-Lie algebra introduced by Weinstein. This algebraic structure gives a nontrivial example of Leibniz…
A Proof of Radford's Biproduct Theorem by Using Braided Diagrams
Tao Zhang
We give a proof of the Radford's Biproduct Theorem in S. Montgomery's book [Hopf Algebras and Their Actions on Rings, CBMS 82, AMS,1993.] by using Majid's braided diagrams method a…