论文标题
特征多项式和简单谎言代数的有限维度表示
Characteristic polynomials and finitely dimensional representations of simple Lie Algebras
论文作者
论文摘要
在本文中，建立了简单谎言代数的有限维表示与其特征多项式的对应关系，并构建了这些特征多项式上的单体结构。此外，研究了SL（2，c）在某些经典简单的谎言代数上通过伴随表示的特征多项式，我们通过特征多项式通过特征性多种方案提出了Borel亚代代代代数和简单代数的抛物线亚代代代数的一些结果。
In this paper, the correspondence between the finite dimensional representations of a simple Lie algebra and their characteristic polynomials is established, and a monoid structure on these characteristic polynomials is constructed. Furthermore, the characteristic polynomials of sl(2, C) on some classical simple Lie algebras through adjoint representations are studied, and we present some results of Borel subalgebras and parabolic subalgebras of simple Lie algebras through characteristic polynomials.
