Cartan

基本解釋

All finite-dimensional path lie algebras are solvable and their Cartan subalgebras of them are obtained.
給出了有限維路李代數(shù)均可解的結(jié)論和所有的卡當(dāng)子代數(shù)；
The root space decompositions of them relative to specific Cartan subalgebras are given.
并給出了其相對于一個(gè)特定的卡當(dāng)子代數(shù)的根子空間的分解；
Cartan domain to Hua domain II.
嘉當(dāng)域到華羅庚域2。
Let A be a symmetrizable generalized Cartan matrix, g(A) thecorresponding Kac-Moody algebra, then a subalgebra h of g(A) is a split Cartan subalgebra if and only if there is a regular locally finite element x such that h=g 0(adx).
設(shè)A為一可對稱化廣義Cartan矩陣 ;g(A)為對應(yīng)的Kac_Moody代數(shù) ;則 g(A)的子代數(shù)h為可裂Cartan子代數(shù)的充分必要條件為存在正則局部有限元x ;使得h =g0 (adx) .
With the aborative description of geometry and analytics,applying Cartan Method,gets the Euler equation of weakly harmonic maps from high dimension Riemann manifold to homogeneous space.
借助于幾何上與分析上的精細(xì)刻畫;利用卡坦方法;得到高維Riemann流形到齊次空間弱調(diào)和映射體現(xiàn)的具體Euler方程形式.