(辫子)李代数的根

The Radicals of(Braided) Lie Algebras

本文建立了李代数的根的一般理论,介绍了Bear根并且证明了Bear根是Bear理想.找到了非扭的仿射李代数的Bear根,证明了若L是一个有限维李代数,那么Bear根rb(L)是L的最大的可解理想.

The general theory of the radicals of Lie algebras is established. Bear radical is introduced and it is proved that Bear radical is Bear ideal.Baer radicals of untwisted affine Lie algebras are found.It is shown that if L is a finite dimensional Lie algebra,then rb（ L） is the maximal solvable ideal of L.