You can write permutation matrix in 2X2; won't you able to extend to that from the definition of permutation matrix? Further, Abelian group and Lie group are related through symmetrical operations. Thinking further with these, is not possible to have combination of that to perform operator algebra modeling? I think that mathematical modeling equation of motion will be thorough maybe.
Thank you with your reply. Please inform about whether these are mathematically viable operation tackling physics of the problem solving to generalize equation of the motion mathematical modeling. With permutation matrix possibility we can use symmetry operations to MATHEMATICAL PHYSICS quite effectively.
Thank you awaiting your reply to analyze mathematically Abelian Lie Group through.
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