62 citations · 167 across the 9 of their papers we have counts for
4 papers · 1 filter
Classification of Graded Left-symmetric Algebra Structures on Witt and Virasoro Algebras
Xiaoli Kong, Hongjia Chen, Chengming Bai
We find that a compatible graded left-symmetric algebra structure on the Witt algebra induces an indecomposable module of the Witt algebra with 1-dimensional weight spaces by its l…
Central extensions of Steinberg Lie superalgebras of small rank
Hongjia Chen, Yun Gao, Shikui Shang
It was shown by A.V.Mikhalev and I.A.Pinchuk in [MP] that the second homology group $H_2(\st)$ of the Steinberg Lie superalgebra $\st$ is trivial for . In this paper, we…
B(0,N)-graded Lie superalgebras coordinatized by quantum tori
Hongjia Chen, Yun Gao, Shikui Shang
We use a fermionic extension of the bosonic module to obtain a class of B(0,N)-graded Lie superalgebras with nontrivial central extensions.
BC_N-graded Lie algebras arising from fermionic representations
Hongjia Chen, Yun Gao
We use fermionic representations to obtain a class of BC-graded Lie algebras coordinatized by quantum tori with nontrivial central extensions.