32 citations · 87 across the 14 of their papers we have counts for
15 papers
A new class of irreducible modules over the BMS-Kac-Moody algebra
Qiu-Fan Chen, Yi-Jun Bai
In this paper, we construct a class of non-weight modules over the BMS-Kac-Moody algebra by taking tensor products of finitely many irreducible modules $Φ(λ,\a,\b,\r,h(t))$ with ir…
2-Local derivations on a Block-type Lie algebra
Qiufan Chen, Xiaohan Guo
The present paper is devoted to study 2-local derivations on the Block-type Lie algebra which is an infinite-dimensional Lie algebra with some outer derivations. We prove that ever…
Non-weight modules over the BMS-Kac-Moody algebra
Qiufan Chen, Cong Guo
In this paper, we construct and classify a class of non-weight modules over the BMS-Kac-Moody algebra, which are free modules of rank one when restricted to the universal envelopin…
Tensor product weight modules over the affine-Virasoro algebra
Qiu-Fan Chen, Yu-Feng Yao
In this paper, we study the tensor products of irreducible highest weight modules with irreducible loop modules over the affine-Virasoro algebra with aid of the ``shifting techniqu…
2-local derivations on the planar Galilean conformal algebra
Qiu-Fan Chen, Yan He
The present paper is devoted to studying 2-local derivations on the planar Galilean conformal algebra. We prove that every 2-local derivation on the planar Galilean conformal algeb…
A new class of irreducible modules over the affine-Virasoro algebra of type
Qiu-Fan Chen, Yu-Feng Yao
In this paper, we construct a class of non-weight modules over the affine-Virasoro algebra of type by taking tensor products of a finite number of irreducible modules $M(λ, α…
Irreducible tensor product modules over the affine-Virasoro algebra of type
Qiu-Fan Chen, Yu-Feng Yao
In this paper, we construct a class of non-weight modules over the affine-Virasoro algebra of type by taking tensor products of irreducibles defined in [Q. Chen, J. Han, Non-…
Whittaker modules for the planar Galilean conformal algebra and its central extension
Qiufan Chen, Yufeng Yao, Hengyun Yang
Let be the planar Galilean conformal algebra and be its universal central extension. Then (resp. ) ad…
Non-weight modules over the affine-Virasoro algebra of type
Qiufan Chen, Jianzhi Han
In this paper, we study a class of non-weight modules over the affine-Virasoro algebra of type , which are free modules of rank one when restricted to the Cartan subalgebra (m…
Non-weight modules over algebras related to the Virasoro algebra
Qiu-Fan Chen, Yu-Feng Yao
In this paper, we study a class of non-weight modules over two kinds of algebras related to the Virasoro algebra, i.e., the loop-Virasoro algebras and a class of Blo…
Verma modules over a class of Block type Lie algebras
Qiufan Chen, Jianzhi Han
Irreducibilities of Verma modules over a class of Block type Lie algebras are completely determined. The approach developed in the present paper can be used to deal with non-weight…
Modules over the algebra
Jianzhi Han, Qiufan Chen, Yucai Su
For any two complex numbers and , is a central extension of which is universal in the case , where $\mathcal{W}(a,b…
A new class of Z-graded Lie conformal algebras of infinite rank
Guangzhe Fan, Qiufan Chen, Jianzhi Han
In this paper, a new class of -graded Lie conformal algebras $\CW(a,c)$ of infinite rank is constructed. The conformal derivations and one-dimensional central extensions of $\C…
Structures of not-finitely graded Lie algebras related to generalized Virasoro algebras
Qiufan Chen, Jianzhi Han, Yucai Su
In this paper, we study the structure theory of a class of not-finitely graded Lie algebras related to generalized Virasoro algebras. In particular,the derivation algebras, the aut…
Loop Virasoro Lie Conformal Algebra
Henan Wu, Qiufan Chen, Xiaoqing Yue
The Lie conformal algebra of loop Virasoro algebra, denoted by , is introduced in this paper. Explicitly, is a Lie conformal algebra with $\mathbb{C}[\…