1 citations · 3 across the 5 of their papers we have counts for
8 papers
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…