The Automorphism Group Of A Contraction Lie Algebra For Quantum Torus

Quantum torus is an important issue of the infinite dimensional Lie algebras. In this paper,we first recall the definitions of the contraction Lie algebra L of the quantum torus and another Lie algebra L of the quantum torus, and give some basic properties of them. Then we prove that the contraction Lie algebra (?) does not isomorphic to the Lie algebra L. Finally we determine the automorphism group of (?).