su（N）III的商代数剖分与Cartan分解
Quotient Algebra Partition and Cartan Decomposition for su(N) III
摘要：
在第三集的系列博览会，商代数分区的秩为零之前介绍了进一步的分区所产生的bi-subalgebras的更高的排名。商代数划分的改进版本不仅允许AI型的Cartan分解，而且还允许AII和AIII型的分解，借助于三加法运算的系统应用。详细的商代数分区的更高的排名进行了广泛的研究在这个最长的插曲的系列。此外，计算的普遍性是利用一种特殊形式的转换称为s-旋转。在由旋量到旋量s-旋转构成的映射下，商代数划分的结构保持不变。
英文摘要：
In the 3rd episode of the serial exposition, quotient algebra partitions of rank zero earlier introduced undergo further partitions generated by bi-subalgebras of higher ranks. The refined versions of quotient algebra partitions admit not only Cartan decompositions of type AI but also decompositions of types AII and AIII, resorting to systematic applications of the operation tri-addition. Details of quotient algebra partitions of higher ranks are extensively examined in this longest episode of the serial. Furthermore, the computational universality is attained taking advantage of a special form of transformation called the s-rotation. The structure of quotient algebra partition is preserved under mappings composed of spinor-to-spinor s-rotations.
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。
