Acta mathematica scientia,Series A ›› 2008, Vol. 28 ›› Issue (6): 1206-1217.

• Articles • Previous Articles     Next Articles

Automorphism Group, Central Extension and Derivations for a Lie Algebra over Quantum Torus

Zheng Zhaojuan   

  1. (Department of Mathematics, Xiamen University, Xiamen 361005|Department of Mathematics and Information Science, Zhangzhou Normal University, Zhangzhou 363000)
  • Received:2007-03-25 Revised:2008-04-30 Online:2008-12-25 Published:2008-12-25
  • Contact: Zheng Zhaojuan

Abstract:

Let q be generic and Cq:=x±11, x±12] be an associative torus algebra, and D(Cq) the set of derivations of Cq. Set Lq to be the derived Lie subalgebra of Cq㈩ D (Cq). In this paper, we study the automorphism group, central extension and derivations of the Lie algebra Lq.

Key words: Lie algebra, Quantum torus, Automorphism group, Central extension, Derivations

CLC Number: 

  • 08A35

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