Automorphism Groups of Some Stable Lie Algebras

作者：Lee Jongwoo^*; Chen Xueqing; Choi Seul Hee; Nam Ki Bong

来源：Journal of Lie Theory, 2011, 21(2): 457-468.

• Simple
• Witt algebra
• degreeing Lie algebra
• Cartan subalgebra

A degree stable Lie algebra is defined in the paper [14). The Lie algebra automorphism group Aut(Lie)(S(+)(2)) of the Lie algebra S(+)(2) is found in the paper [14]. The Lie algebra automorphism group of the Lie algebra W(1, 0, 2) is also found in this paper [2]. We find the algebra automorphism groups of the Lie algebras W(1(2), 1, 1) and W(1(2), 2, 0) in this work. We show that the Cartan subalgebras of W(1(2), 1, 1) and W(1(2), 2, 0) are one dimensional.

• 出版日期2011