su(N)II的商代数剖分与Cartan分解
Quotient Algebra Partition and Cartan Decomposition for su(N) II
摘要:
这是继[1]之后的第二次阐述。框架商代数划分被改写为s-表示的语言。由于这种语言,在由秩为零的双子代数支配的最少数量的条件下建立了最简单形式的商代数划分,即,一个嘉当子代数在此框架下,su(N)的所有Cartan子代数被分类,并通过子代数扩张过程递归生成。
英文摘要:
This is the sequel exposition following [1]. The framework quotient algebra partition is rephrased in the language of the s-representation. Thanks to this language, a quotient algebra partition of the simplest form is established under a minimum number of conditions governed by a bi-subalgebra of rank zero, i.e., a Cartan subalgebra. Within the framework, all Cartan subalgebras of su(N) are classified and generated recursively through the process of the subalgebra extension.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。