It is proved that every nonzero ideal in a finite-dimensional semi-simple algebra over a field is generated by an unique central idempotent.
证明了域上有限维半单代数的每一个非零理想由唯一的中心幂等元生成。
in this paper by using cartan matrix, a method for calculating the scalar product of the weights of the elementary representation for semi-simple lie algebra is presented, and from this, the eigen value of the second casimir operator is worked out.
本文利用Cartan矩阵给出了一种计算半单李代数初等表示的权的标积的方法,并由此算出了二次Casimir算符的本征值。
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