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The matrix representation of <math>\mathit{l}^\mathrm{w}\!</math> is very instructive to examine at this point, and even shows the sense behind the name ''involution''.

It is very instructive to examine the matrix representation of <math>\mathit{l}^\mathrm{w}\!</math> at this point, not the least because it helps to dispel the mystery behind the name ''involution''.

{| align="center" cellspacing="6" width="90%"

{| align="center" cellspacing="6" width="90%"