HPrSSψ vs LPrSS投影 分析Part2

上篇：HPrSSψ vs LPrSS投影 vs LPrSS反射 分析

分析1：(0)(1,1,1)(2,2,1)(3,3)~(0)(1,1,1)(2,2,1)(3,3,1)

分析1：(0)(1,1,1)(2,2,1)(3,3)~(0)(1,1,1)(2,2,1)(3,3,1)

HPrSSψ	LPrSS投影	BMS
$\psi ({\psi }_2({\psi }_4({\mathrm{\Omega }}_5)))=\psi ({\psi }_2({\epsilon }_{{\mathrm{\Omega }}_4+1}))$	$\psi ({\psi }_a({\psi }_{a+2}({\mathrm{\Omega }}_{a+2})))=\psi ({\psi }_a({\epsilon }_{{\mathrm{\Omega }}_{a+1}+1}))$	(0)(1,1,1)(2,2,1)(3,3)
$\psi ({\psi }_2({\psi }_4({\mathrm{\Omega }}_5))+\mathrm{\Omega })$	$\psi ({\psi }_a({\psi }_{a+2}({\mathrm{\Omega }}_{a+2}))+\mathrm{\Omega })$	(0)(1,1,1)(2,2,1)(3,3)(1,1)
$\psi ({\psi }_2({\psi }_4({\mathrm{\Omega }}_5))+{\psi }_1({\psi }_3({\psi }_5({\mathrm{\Omega }}_6))))$	$\psi ({\psi }_a({\psi }_{a+2}({\mathrm{\Omega }}_{a+2}))+{\psi }_1({\psi }_a({\psi }_{a+2}({\mathrm{\Omega }}_{a+2}))))$	(0)(1,1,1)(2,2,1)(3,3)(1,1)(2,2,1)(3,3,1)(4,4)
$\psi ({\psi }_2({\psi }_4({\mathrm{\Omega }}_5))+{\mathrm{\Omega }}_2)$	$\psi ({\psi }_a({\psi }_{a+2}({\mathrm{\Omega }}_{a+2}))+{\mathrm{\Omega }}_2)$	(0)(1,1,1)(2,2,1)(3,3)(1,1,1)
$\psi ({\psi }_2({\psi }_4({\mathrm{\Omega }}_5))+{\psi }_2({\mathrm{\Omega }}_4))$	$\psi ({\psi }_a({\psi }_{a+2}({\mathrm{\Omega }}_{a+2}))+{\mathrm{\Omega }}_3)$	(0)(1,1,1)(2,2,1)(3,3)(1,1,1)(2,2,1)
$\psi ({\psi }_2({\psi }_4({\mathrm{\Omega }}_5))+{\psi }_2({\mathrm{\Omega }}_4^2))$	$\psi ({\psi }_a({\psi }_{a+2}({\mathrm{\Omega }}_{a+2}))+{\psi }_a({\mathrm{\Omega }}_{a+1}^2))$	(0)(1,1,1)(2,2,1)(3,3)(1,1,1)(2,2,1)(3,2,1)
$\psi ({\psi }_2({\psi }_4({\mathrm{\Omega }}_5))\times 2)$	$\psi ({\psi }_a({\psi }_{a+2}({\mathrm{\Omega }}_{a+2}))\times 2)$	(0)(1,1,1)(2,2,1)(3,3)(1,1,1)(2,2,1)(3,3)
$\psi ({\psi }_2({\psi }_4({\mathrm{\Omega }}_5)+1))$	$\psi ({\psi }_a({\psi }_{a+2}({\mathrm{\Omega }}_{a+2})+1))$	(0)(1,1,1)(2,2,1)(3,3)(2)
$\psi ({\psi }_2({\psi }_4({\mathrm{\Omega }}_5)+{\psi }_2({\psi }_4({\mathrm{\Omega }}_5))))$	$\psi ({\psi }_a({\psi }_{a+2}({\mathrm{\Omega }}_{a+2})+{\psi }_a({\psi }_{a+2}({\mathrm{\Omega }}_{a+2}))))$	(0)(1,1,1)(2,2,1)(3,3)(2,1,1)(3,2,1)(4,3)
$\psi ({\psi }_2({\psi }_4({\mathrm{\Omega }}_5)+{\mathrm{\Omega }}_3))$	$\psi ({\psi }_a({\psi }_{a+2}({\mathrm{\Omega }}_{a+2})+a))$	(0)(1,1,1)(2,2,1)(3,3)(2,2)
$\psi ({\psi }_2({\psi }_4({\mathrm{\Omega }}_5)+{\mathrm{\Omega }}_4))$	$\psi ({\psi }_a({\psi }_{a+2}({\mathrm{\Omega }}_{a+2})+{\mathrm{\Omega }}_{a+1}))$	(0)(1,1,1)(2,2,1)(3,3)(2,2,1)
$\psi ({\psi }_2({\psi }_4({\mathrm{\Omega }}_5)+{\mathrm{\Omega }}_4^2))$	$\psi ({\psi }_a({\psi }_{a+2}({\mathrm{\Omega }}_{a+2})+{\mathrm{\Omega }}_{a+1}^2))$	(0)(1,1,1)(2,2,1)(3,3)(2,2,1)(3,2,1)
$\psi ({\psi }_2({\psi }_4({\mathrm{\Omega }}_5)\times 2))$	$\psi ({\psi }_a({\psi }_{a+2}({\mathrm{\Omega }}_{a+2})\times 2))$	(0)(1,1,1)(2,2,1)(3,3)(2,2,1)(3,3)
$\psi ({\psi }_2({\psi }_4({\mathrm{\Omega }}_5+1)))$	$\psi ({\psi }_a({\psi }_{a+2}({\mathrm{\Omega }}_{a+2}+1)))$	(0)(1,1,1)(2,2,1)(3,3)(3)
$\psi ({\psi }_2({\psi }_4({\mathrm{\Omega }}_5+\mathrm{\Omega })))$	$\psi ({\psi }_a({\psi }_{a+2}({\mathrm{\Omega }}_{a+2}+\mathrm{\Omega })))$	(0)(1,1,1)(2,2,1)(3,3)(3,1)
$\psi ({\psi }_2({\psi }_4({\mathrm{\Omega }}_5+{\mathrm{\Omega }}_2)))$	$\psi ({\psi }_a({\psi }_{a+2}({\mathrm{\Omega }}_{a+2}+{\mathrm{\Omega }}_2)))$	(0)(1,1,1)(2,2,1)(3,3)(3,1,1)
$\psi ({\psi }_2({\psi }_4({\mathrm{\Omega }}_5+{\mathrm{\Omega }}_3)))$	$\psi ({\psi }_a({\psi }_{a+2}({\mathrm{\Omega }}_{a+2}+a)))$	(0)(1,1,1)(2,2,1)(3,3)(3,2)
$\psi ({\psi }_2({\psi }_4({\mathrm{\Omega }}_5+{\mathrm{\Omega }}_4)))$	$\psi ({\psi }_a({\psi }_{a+2}({\mathrm{\Omega }}_{a+2}+{\mathrm{\Omega }}_{a+1})))$	(0)(1,1,1)(2,2,1)(3,3)(3,2,1)
$\psi ({\psi }_2({\psi }_4({\mathrm{\Omega }}_5+{\psi }_4({\mathrm{\Omega }}_5))))$	$\psi ({\psi }_a({\psi }_{a+2}({\mathrm{\Omega }}_{a+2}+{\psi }_{a+2}({\mathrm{\Omega }}_{a+2}))))$	(0)(1,1,1)(2,2,1)(3,3)(3,2,1)(4,3)
$\psi ({\psi }_2({\psi }_4({\mathrm{\Omega }}_{5}2)))$	$\psi ({\psi }_a({\psi }_{a+2}({\mathrm{\Omega }}_{a+2}2)))$	(0)(1,1,1)(2,2,1)(3,3)(3,3)
$\psi ({\psi }_2({\psi }_4({\mathrm{\Omega }}_5\omega )))$	$\psi ({\psi }_a({\psi }_{a+2}({\mathrm{\Omega }}_{a+2}\omega )))$	(0)(1,1,1)(2,2,1)(3,3)(4)
$\psi ({\psi }_2({\psi }_4({\mathrm{\Omega }}_5\mathrm{\Omega })))$	$\psi ({\psi }_a({\psi }_{a+2}({\mathrm{\Omega }}_{a+2}\mathrm{\Omega })))$	(0)(1,1,1)(2,2,1)(3,3)(4,1)
$\psi ({\psi }_2({\psi }_4({\mathrm{\Omega }}_5{\mathrm{\Omega }}_2)))$	$\psi ({\psi }_a({\psi }_{a+2}({\mathrm{\Omega }}_{a+2}{\mathrm{\Omega }}_2)))$	(0)(1,1,1)(2,2,1)(3,3)(4,1,1)
$\psi ({\psi }_2({\psi }_4({\mathrm{\Omega }}_5{\mathrm{\Omega }}_3)))$	$\psi ({\psi }_a({\psi }_{a+2}({\mathrm{\Omega }}_{a+2}a)))$	(0)(1,1,1)(2,2,1)(3,3)(4,2)
$\psi ({\psi }_2({\psi }_4({\mathrm{\Omega }}_5{\mathrm{\Omega }}_4)))$	$\psi ({\psi }_a({\psi }_{a+2}({\mathrm{\Omega }}_{a+2}{\mathrm{\Omega }}_{a+1})))$	(0)(1,1,1)(2,2,1)(3,3)(4,2,1)
$\psi ({\psi }_2({\psi }_4({\mathrm{\Omega }}_5\times {\psi }_4({\mathrm{\Omega }}_5))))$	$\psi ({\psi }_a({\psi }_{a+2}({\mathrm{\Omega }}_{a+2}\times {\psi }_{a+2}({\mathrm{\Omega }}_{a+2}))))$	(0)(1,1,1)(2,2,1)(3,3)(4,2,1)(5,3)
$\psi ({\psi }_2({\psi }_4({\mathrm{\Omega }}_5^2)))$	$\psi ({\psi }_a({\psi }_{a+2}({\mathrm{\Omega }}_{a+2}^2)))$	(0)(1,1,1)(2,2,1)(3,3)(4,3)
$\psi ({\psi }_2({\psi }_4({\mathrm{\Omega }}_5^{\omega })))$	$\psi ({\psi }_a({\psi }_{a+2}({\mathrm{\Omega }}_{a+2}^{\omega })))$	(0)(1,1,1)(2,2,1)(3,3)(4,3)(5)
$\psi ({\psi }_2({\psi }_4({\mathrm{\Omega }}_5^{{\mathrm{\Omega }}_5})))$	$\psi ({\psi }_a({\psi }_{a+2}({\mathrm{\Omega }}_{a+2}^{{\mathrm{\Omega }}_{a+2}})))$	(0)(1,1,1)(2,2,1)(3,3)(4,3)(5,3)
$\psi ({\psi }_2({\psi }_4({\psi }_5({\mathrm{\Omega }}_6))))$	$\psi ({\psi }_a({\psi }_{a+2}({\psi }_{a+3}({\mathrm{\Omega }}_{a+3}))))$	(0)(1,1,1)(2,2,1)(3,3)(4,4)
$\psi ({\psi }_2({\psi }_4({\psi }_5({\psi }_6({\mathrm{\Omega }}_7)))))$	$\psi ({\psi }_a({\psi }_{a+2}({\psi }_{a+3}({\psi }_{a+4}({\mathrm{\Omega }}_{a+4})))))$	(0)(1,1,1)(2,2,1)(3,3)(4,4)(5,5)
$\psi ({\psi }_2({\psi }_4({\psi }_5({\mathrm{\Omega }}_7))))$	$\psi ({\psi }_a({\psi }_{a+2}({\mathrm{\Omega }}_{a+3})))$	(0)(1,1,1)(2,2,1)(3,3)(4,4,1)
$\psi ({\psi }_2({\psi }_4({\psi }_5({\mathrm{\Omega }}_{7}2))))$	$\psi ({\psi }_a({\psi }_{a+2}({\mathrm{\Omega }}_{a+3}2)))$	(0)(1,1,1)(2,2,1)(3,3)(4,4,1)(4,4,1)
$\psi ({\psi }_2({\psi }_4({\psi }_5({\mathrm{\Omega }}_7\omega ))))$	$\psi ({\psi }_a({\psi }_{a+2}({\mathrm{\Omega }}_{a+3}\omega )))$	(0)(1,1,1)(2,2,1)(3,3)(4,4,1)(5)
$\psi ({\psi }_2({\psi }_4({\psi }_5({\mathrm{\Omega }}_7^2))))$	$\psi ({\psi }_a({\psi }_{a+2}({\mathrm{\Omega }}_{a+3}^2)))$	(0)(1,1,1)(2,2,1)(3,3)(4,4,1)(5,4,1)
$\psi ({\psi }_2({\psi }_4({\psi }_5({\psi }_7({\mathrm{\Omega }}_8)))))$	$\psi ({\psi }_a({\psi }_{a+2}({\psi }_{a+4}({\mathrm{\Omega }}_{a+4}))))$	(0)(1,1,1)(2,2,1)(3,3)(4,4,1)(5,5)
$\psi ({\psi }_2({\psi }_4({\psi }_5({\psi }_7({\mathrm{\Omega }}_9)))))$	$\psi ({\psi }_a({\psi }_{a+2}({\mathrm{\Omega }}_{a+4})))$	(0)(1,1,1)(2,2,1)(3,3)(4,4,1)(5,5,1)
$\psi ({\psi }_2({\psi }_4({\psi }_5({\psi }_7({\mathrm{\Omega }}_9\omega )))))$	$\psi ({\psi }_a({\psi }_{a+2}({\mathrm{\Omega }}_{a+\omega })))$	(0)(1,1,1)(2,2,1)(3,3)(4,4,1)(5,5,1)(6)
$\psi ({\psi }_2({\psi }_4({\psi }_5({\psi }_7({\mathrm{\Omega }}_9\mathrm{\Omega })))))$	$\psi ({\psi }_a({\psi }_{a+2}({\mathrm{\Omega }}_{a+\mathrm{\Omega }})))$	(0)(1,1,1)(2,2,1)(3,3)(4,4,1)(5,5,1)(6,1)
$\psi ({\psi }_2({\psi }_4({\psi }_5({\psi }_7({\mathrm{\Omega }}_9{\mathrm{\Omega }}_2)))))$	$\psi ({\psi }_a({\psi }_{a+2}({\mathrm{\Omega }}_{a+{\mathrm{\Omega }}_2})))$	(0)(1,1,1)(2,2,1)(3,3)(4,4,1)(5,5,1)(6,1,1)
$\psi ({\psi }_2({\psi }_4({\psi }_5({\psi }_7({\mathrm{\Omega }}_9{\mathrm{\Omega }}_3)))))$	$\psi ({\psi }_a({\psi }_{a+2}({\mathrm{\Omega }}_{a2})))$	(0)(1,1,1)(2,2,1)(3,3)(4,4,1)(5,5,1)(6,2)
$\psi ({\psi }_2({\psi }_4({\psi }_5({\psi }_7({\mathrm{\Omega }}_9{\mathrm{\Omega }}_4)))))$	$\psi ({\psi }_a({\psi }_{a+2}({\mathrm{\Omega }}_{{\mathrm{\Omega }}_{a+1}})))$	(0)(1,1,1)(2,2,1)(3,3)(4,4,1)(5,5,1)(6,2,1)
$\psi ({\psi }_2({\psi }_4({\psi }_5({\psi }_7({\mathrm{\Omega }}_9{\mathrm{\Omega }}_5)))))$	$\psi ({\psi }_a({\psi }_{a+2}({\mathrm{\Omega }}_{{\mathrm{\Omega }}_{a+2}})))$	(0)(1,1,1)(2,2,1)(3,3)(4,4,1)(5,5,1)(6,3)
$\psi ({\psi }_2({\psi }_4({\psi }_5({\psi }_7({\mathrm{\Omega }}_9{\mathrm{\Omega }}_6)))))$	$\psi ({\psi }_a({\psi }_{a+2}({\mathrm{\Omega }}_{{\psi }_{a+3}({\mathrm{\Omega }}_{a+3})})))$	(0)(1,1,1)(2,2,1)(3,3)(4,4,1)(5,5,1)(6,4)
$\psi ({\psi }_2({\psi }_4({\psi }_5({\psi }_7({\mathrm{\Omega }}_9{\mathrm{\Omega }}_7)))))$	$\psi ({\psi }_a({\psi }_{a+2}({\mathrm{\Omega }}_{{\mathrm{\Omega }}_{a+3}})))$	(0)(1,1,1)(2,2,1)(3,3)(4,4,1)(5,5,1)(6,4,1)
$\psi ({\psi }_2({\psi }_4({\psi }_5({\psi }_7({\mathrm{\Omega }}_9{\mathrm{\Omega }}_8)))))$	$\psi ({\psi }_a({\psi }_{a+2}({\psi }_{a_2}({\mathrm{\Omega }}_{a_2+1}{a}_2))))$	(0)(1,1,1)(2,2,1)(3,3)(4,4,1)(5,5,1)(6,5)
$\psi ({\psi }_2({\psi }_4({\psi }_5({\psi }_7({\mathrm{\Omega }}_9^2)))))$	$\psi ({\psi }_a({\psi }_{a+2}({\psi }_{a_2}({\mathrm{\Omega }}_{a_2+1}^2))))$	(0)(1,1,1)(2,2,1)(3,3)(4,4,1)(5,5,1)(6,5,1)
$\psi ({\psi }_2({\psi }_4({\psi }_5({\psi }_7({\psi }_9({\mathrm{\Omega }}_{10}))))))$	$\psi ({\psi }_a({\psi }_{a+2}({\psi }_{a_2}({\psi }_{a_2+2}({\mathrm{\Omega }}_{a_2+2})))))$	(0)(1,1,1)(2,2,1)(3,3)(4,4,1)(5,5,1)(6,6)
$\psi ({\psi }_2({\psi }_4({\psi }_5({\psi }_7({\psi }_9({\psi }_{10}({\mathrm{\Omega }}_{12})))))))$	$\psi ({\psi }_a({\psi }_{a+2}({\psi }_{a_2}({\psi }_{a_2+2}({\mathrm{\Omega }}_{a_2+3})))))$	(0)(1,1,1)(2,2,1)(3,3)(4,4,1)(5,5,1)(6,6)(7,7,1)
$\psi ({\psi }_2({\psi }_4({\psi }_5({\psi }_7({\psi }_9({\psi }_{10}({\psi }_{12}({\mathrm{\Omega }}_{14}))))))))$	$\psi ({\psi }_a({\psi }_{a+2}({\psi }_{a_2}({\psi }_{a_2+2}({\mathrm{\Omega }}_{a_2+4})))))$	(0)(1,1,1)(2,2,1)(3,3)(4,4,1)(5,5,1)(6,6)(7,7,1)(8,8,1)
$\psi ({\psi }_2({\psi }_4({\psi }_5({\psi }_7({\psi }_9({\psi }_{10}({\psi }_{12}({\mathrm{\Omega }}_{14}^2))))))))$	$\psi ({\psi }_a({\psi }_{a+2}({\psi }_{a_2}({\psi }_{a_2+2}({\psi }_{a_3}({\mathrm{\Omega }}_{a_3+1}^2))))))$	(0)(1,1,1)(2,2,1)(3,3)(4,4,1)(5,5,1)(6,6)(7,7,1)(8,8,1)(9,8,1)
$\psi ({\psi }_2({\psi }_4({\psi }_5({\psi }_7({\psi }_9({\psi }_{10}({\psi }_{12}({\psi }_{14}({\mathrm{\Omega }}_{15})))))))))$	$\psi ({\psi }_a({\psi }_{a+2}({\psi }_{a_2}({\psi }_{a_2+2}({\psi }_{a_3}({\psi }_{a_3+2}({\mathrm{\Omega }}_{a_3+2})))))))$	(0)(1,1,1)(2,2,1)(3,3)(4,4,1)(5,5,1)(6,6)(7,7,1)(8,8,1)(9,9)
$\psi ({\psi }_2({\psi }_4({\mathrm{\Omega }}_6)))$	$\psi ({\psi }_a({\mathrm{\Omega }}_{a+2}))$	(0)(1,1,1)(2,2,1)(3,3,1)

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