Cell-containing functional group transformations

As for isolated enzymes, cell-containing systems have been used for a number of functional group transformations. Examples range from redox reactions to group-transfer reactions. 

The functions associated with these tableaux according to (10.3.4) provide a 20-dimensional irrep of U(4), the group of transformations that mix the orbitals 0,..., 4. To pass to the subgroup U(3) of transformations that mix only the first three orbitals 2. 3> we simply scratch out the cells containing orbital index 4. The 20 x 20 irrep of U(4) then reduces to a block form in which the blocks provide irreps of U(3), whose basis vectors are labelled by indicating the truncated tableaux that remain. There is an 8x8 block, with index symmetry... 

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