category theory of algebras 代数的范畴理论
representation theory of algebras 代数表示论
Theory of Operator Algebras 算子代数理论
Many of important concepts in the theory of abstract Lie algebras come from classical theory of groups, for example, complete Lie algebras is a generalization of complete groups.
李代数的抽象理论中很多重要的概念都来源于经典群论，完备李代数便是一个例子。
A systematic introduction to the theory of configuration space of multi-features is given, appealing to Lie groups and algebras.
结合李群李代数方法，系统地研究了多特征的位形空间理论，给出了定向公差约束子流形的局部参数显式表达。
We systematically sum up characteristics of advanced algebras in thought methods from the Angle of theory of knowledge.
从认识论的角度，系统地总结了高等代数在思想方法上的特点。
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