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Lie Superalgebras and the Multiplet Structure of the Genetic Code II: Branching Schemes

Michael Forger, Sebastian Sachse

math-pharXiv:math-ph/9905017

Abstract

Continuing our attempt to explain the degeneracy of the genetic code using basic classical Lie superalgebras, we present the branching schemes for the typical codon representations (typical 64-dimensional irreducible representations) of basic classical Lie superalgebras and find three schemes that do reproduce the degeneracies of the standard code, based on the orthosymplectic algebra osp(5|2) and differing only in details of the symmetry breaking pattern during the last step.

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