zetafunction
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let be X,Y and Z operators of some algebra so
[X_i , Y_j]= \epsilon _ijkX_k where i,j and k range over X, Y and Z
then i define the change of coordinates
X= rcos(u)
Y= rsin(u)
Z=Z
again r, u and Z are new operators, the problem is , how can i find for example what is the value of [r, u] or [r,z] or [u,z] ??
[X_i , Y_j]= \epsilon _ijkX_k where i,j and k range over X, Y and Z
then i define the change of coordinates
X= rcos(u)
Y= rsin(u)
Z=Z
again r, u and Z are new operators, the problem is , how can i find for example what is the value of [r, u] or [r,z] or [u,z] ??