5 citations · 8 across the 9 of their papers we have counts for
11 papers
A class of weight modules over the twisted Heisenberg-Virasoro algebra and gap- Virasoro algebras
Chengkang Xu, Fen Zhang
In this paper, we construct a class of simple weight modules over the twisted Heisenberg-Virasoro algebra and gap- Virasoro algebras from restricted modules over some positive p…
-biderivations of Virasoro related algebras
Chengkang Xu
We determine all -biderivations for the Witt algebra, the Virasoro algebra, the -algebras and their universal central extensions , and then give s…
Unitary modules over the gap- Virasoro algebras
Chengkang Xu
For any irreducible Harish-Chandra module over the gap- Virasoro algebra, we determine the condition for to be unitary.
Restricted modules for gap- Virasoro algebra and twisted modules for certain vertex algebras
Hongyan Guo, Chengkang Xu
This paper studies restricted modules of gap- Virasoro algebra and their intrinsic connection to twisted modules of certain vertex algebras. We first establish an equivalenc…
Verma modules over deformed generalized Heisenberg-Virasoro algebras
Chengkang Xu
Let denote the deformed generalized Heisenberg-Virasoro algebra related to a complex parameter and an additive subgroup of . For a total…
Automorphisms, derivations and central extensions of Lie algebras arising from quantum tori
Chengkang Xu
For a Lie algebra related to a quantum torus, we compute its automorphisms, derivations and universal central extension. This Lie algebra is isomorphic…
Deformed higher rank Heisenberg-Virasoro algebras
Chengkang Xu
In this paper, we study a class of infinitesimal deformations of the centerless higher rank Heisenberg-Virasoro algebras. Explicitly, the universal central extensions, derivations…
Compatible left-symmetric algebraic structures on high rank Witt and Virasoro algebras
Chengkang Xu
We classify all graded compatible left-symmetric algebraic structures on high rank Witt algebras, and classify all non-graded ones satisfying a minor condition. Furthermore, graded…
Cuspidal modules for the derivation Lie algebra over a rational quantum torus
Chengkang Xu
Let denote a rational quantum torus with variables, and be the centre of . In this paper we give a explicit description of the structure…
Cuspidal modules for solenoidal Lie algebras over rational quantum tori
Chengkang Xu
In this paper we classify all irreducible cuspidal modules over a solenoidal Lie algebra over a rational quantum torus, generalizing the results in [BF2], [Su] and [Xu2].
Classification of irreducible Harish-Chandra modules over gap- Virasoro algebras
Chengkang Xu
We prove that any irreducible Harish-Chandra modules for a class of Lie algebras, which we call gap- Virasoro algebras, must be a highest weight module, a lowest weight module,…