1 citations · 3 across the 7 of their papers we have counts for
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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,…