English

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

Mathematical Physics 2009-10-31 v1 math.MP q-bio

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.

Keywords

Cite

@article{arxiv.math-ph/9905017,
  title  = {Lie Superalgebras and the Multiplet Structure of the Genetic Code II: Branching Schemes},
  author = {Michael Forger and Sebastian Sachse},
  journal= {arXiv preprint arXiv:math-ph/9905017},
  year   = {2009}
}

Comments

34 pages, 9 tables, LaTex