Symmetry breaking in the genetic code: Finite groups

Symmetry breaking in the genetic code: Finite groups

Author Antoneli, Fernando Autor UNIFESP Google Scholar
Forger, Michael Google Scholar
Institution Universidade Federal de São Paulo (UNIFESP)
Universidade de São Paulo (USP)
Abstract We investigate the possibility of interpreting the degeneracy of the genetic code, i.e., the feature that different codons (base triplets) of DNA are transcribed into the same amino acid, as the result of a symmetry breaking process, in the context of finite groups. in the first part of this paper, we give the complete list of all codon representations (64-dimensional irreducible representations) of simple finite groups and their satellites (central extensions and extensions by outer automorphisms). in the second part, we analyze the branching rules for the codon representations found in the first part by computational methods, using a software package for computational group theory. the final result is a complete classification of the possible schemes, based on finite simple groups, that reproduce the multiplet structure of the genetic code. (C) 2010 Elsevier B.V. All rights reserved.
Keywords Finite groups
Representation theory
Computational group theory
Spontaneous symmetry breaking
Genetic code
Language English
Sponsor Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
Date 2011-04-01
Published in Mathematical and Computer Modelling. Oxford: Pergamon-Elsevier B.V., v. 53, n. 7-8, p. 1469-1488, 2011.
ISSN 0895-7177 (Sherpa/Romeo, impact factor)
Publisher Elsevier B.V.
Extent 1469-1488
Access rights Closed access
Type Article
Web of Science ID WOS:000287479000011

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