2019/12/05 by Zheng-Yao Su, Su, Zheng-Yao, Ming-Chung Tsai +1
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Physical sciences #Finite Group Theory Research #Mathematical Physics (math-ph) #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.1912.03364
openalex publication_date 2019/12/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.