A new type of Young tableaux with “negative” boxes is introduced. The product of two such generalized Young tableaux is defined and enables one to develop an algorithm for the reduction of the product of SO(n) representations. A general formula for such a reduction is presented for the case...

The central rôle of group theory in the search for a satisfactory renormalizable gauge theory to unify the theory of fundamental interactions (excluding gravity) is examined. The symmetry breaking needed to produce such theories and the consequent introduction of Higgs scalar particles is...

It has been argued that the sum of usage probabilities for codons, belonging to quartets, that have as third nucleotide C or A, is independent of the biological species for vertebrates. The comparison between the theoretical correlation matrix derived from these sum rules and the experimentally...