CGC
Computes Clebsch-Gordan Coefficents

Calling Sequence

CGC[compute] ( [IrrepTableau, ProductTableau], [P] );

CGC[rotate] ( P );

Parameters

IrrepTableau	A list of lists of integers, specifing the Gelfand-Zetlin Tableau of the mapped irrep.
ProductTableau	A list of Gelfand-Zetlin Tableaux (each a list of lists of integers) specifing the Gelfand-Zetlin tableau for each of the irreps of the tensor product.
P	Eigenvector matrix as returned from the Casimir module.

Description

• If IrrepTableau and ProductTableau are not explicitly passed to CGC[compute], then the procedure will use the values of the global variables of the same name. If such are not defined, an error will result.
   
• Like the other procedures in the package, CGC[compute] uses the polynomials from the last time the MapHW procedure was run. Likewise, if MapHW has not been ran, an error will result.
   
• If the have not yet been labeled by Generalized Casimir Operators, the P matrix can be left unspecified. In this case, the actual vector of coefficents returned are of little value. However, once the P matrix is determined by the Casimir rutine, then one only needs to run CGC[rotate] rather than the entire procedure.
   
• The Casimir[rotate] procedure allows the user to compute the Clebsch-Gordan coefficents relating to a different coupling scheme. The previous results are just "rotated" and renormalized for the new eigenvectors. If a P matrix was not specified when CGC[rotate] was initially run, then this matrix can be specified through this alternate program.

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