On the Use of Lie Group Homomorphisms for Treating Similarity Transformations in Nonadiabatic Photochemistry

Table 4

Multiplication table of Gell-Mann matrices {𝝀₆,𝝀₇,𝝀⁺₃,𝝀⁺₈} (left times top).

Product	𝐞^+	𝝀6	𝝀7	𝝀^+3	𝝀^+8
𝐞^+	𝐞^+	𝝀6	𝝀7	𝝀^+3	1√3𝐞^+
𝝀6	𝝀6	𝐞^+	𝑖𝝀^+3	−𝑖𝝀7	1√3𝝀6
𝝀7	𝝀7	−𝑖𝝀^+3	𝐞^+	𝑖𝝀6	1√3𝝀7
𝝀^+3	𝝀^+3	𝑖𝝀7	−𝑖𝝀6	𝐞^+	1√3𝝀^+3
𝝀^+8	1√3𝐞^+	1√3𝝀6	1√3𝝀7	1√3𝝀^+3	𝐞^+−2√3𝝀^+8