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

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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 CqD (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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