Abstract
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.
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