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SUBALGEBRAS OF A q-ANALOG FOR THE VIRASORO ALGEBRA

  • Nam, Ki-Bong ;
  • Wang, Moon-Ok
  • Published : 2003.11.01

Abstract

We define subalgebras ${V_q}^{mZ{\times}nZ}\;of\;V_q\;where\;V_q$ are in the paper [4]. We show that the Lie algebra ${V_q}^{mZ{\times}nZ}$ is simple and maximally abelian decomposing. We may define a Lie algebra is maximally abelian decomposing, if it has a maximally abelian decomposition of it. The F-algebra automorphism group of the Laurent extension of the quantum plane is found in the paper [4], so we find the Lie automorphism group of ${V_q}^{mZ{\times}nZ}$ in this paper.

Keywords

simple Lie algebra;maximally abelian decomposing;algebra automorphism;Lie automorphism;isomorphism

References

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