SUBALGEBRAS OF A q-ANALOG FOR THE VIRASORO ALGEBRA

Title & Authors
SUBALGEBRAS OF A q-ANALOG FOR THE VIRASORO ALGEBRA
Nam, Ki-Bong; Wang, Moon-Ok;

Abstract
We define subalgebras $\small{{V_q}^{mZ{\times}nZ}\;of\;V_q\;where\;V_q}$ are in the paper [4]. We show that the Lie algebra $\small{{V_q}^{mZ{\times}nZ}}$ 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 $\small{{V_q}^{mZ{\times}nZ}}$ in this paper.
Keywords
simple Lie algebra;maximally abelian decomposing;algebra automorphism;Lie automorphism;isomorphism;
Language
English
Cited by
References
1.
Progr. Math., vol.92. pp.471-506

2.
Topics in ring theory,

3.
Contem. Math. Amer. Math. Soc., vol.184. pp.225-230

4.
Comm. Algebra, vol.22. 10, pp.3755-3774

5.
J. London Math. Soc. (2), vol.38. 1, pp.47-55

6.
Commun. Korean Math. Soc., vol.17. 2, pp.237-243