NONLINEAR MAPS ON A BOREL SUBALGEBRA PRESERVING AD-NILPOTENT IDEALS

作者：Wang, Dengyin^*; Zhao, Yanxia; Chen, Zhengxin

来源：Communications in Algebra, 2011, 39(5): 1519-1527.

DOI：10.1080/00927871003591850

• Ad-nilpotent ideals
• Nonlinear maps
• Simple Lie algebras

Let b be a fixed Borel subalgebra of a complex simple Lie algebra. An invertible map on b is said to preserve ad-nilpotent ideals if it maps each ad-nilpotent ideal of b to some such ideal of the same dimension. In this article, we give an explicit description for the invertible maps on b preserving ad-nilpotent ideals.

• 出版日期2011
• 单位中国矿业大学（北京）; 福建师范大学