N-李代數(shù)的Hypo-冪零理想.pdf

1、河北大學(xué)碩士學(xué)位論文N-李代數(shù)的Hypo-冪零理想姓名：時(shí)翠梅申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：@指導(dǎo)教師：白瑞蒲20100501AbstractAbstractThe properties of hyponilpotent ideals of n-Lie algebras, and the structur of innerderivation algebras of solvable 3-Lie algebras possessing a m

2、aximal hypo-nilpotent idealare studied. The results that nilradial of an n-Lie algebra is the proper subalgebra ofevery maximal hypo-nilpotent ideal and for every a solvable but nonilpotnt n-Lie algebrathere exist hypo-n

3、ilpotent ideals are proved. The relationship between the dimensions ofan n-Lie algebra and its maximal hypo-nilpotent ideals is provided. At last, the structureof inner derivation algebras of solvable 3-Lie algebras with

4、 the maximal hypo-nilpotentideal N is discussed.The paper consists of four sections. The back ground and development of n-Liealgebras are introduced in section 1. Some definitions and notions used in the paperare provide

5、d in section 2. The properties of hypo-nilpotent ideals of n-Lie algebras arestudied in section 3. The structure of inner derivation algebras of solvable 3-Lie algebraswith the maximal hyponilpotent idwal N are discussed