From quantum groups to genetic mutations

2003/09/25 by A. Sciarrino, Antonino Sciarrino, Sciarrino, Antonino
Biochemistry, Genetics and Molecular Biology · Chemistry · Mathematics · Medicine · Physics and Astronomy · #Biology #Biomolecules (q-bio.BM) #FOS: Biological sciences #FOS: Physical sciences #Genetics #Mathematical Physics (math-ph) #Medicine #Molecular spectroscopy and chirality #Origins and Evolution of Life #Physics #Quantum #Quantum mechanics #math-ph #math.MP #q-bio.BM

paper · pdf · doi:10.48550/arxiv.math-ph/0309056

published in arXiv (Cornell University) (Cornell University) · 11 pages, Talk at Int.Conf."Symmetries in Science XIII", Bregenz July 20-24 2003

arxiv created 2003/09/25 · openalex publication_date 2003/09/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In the framework of the crystal basis model of the genetic code, where each codon is assigned to an irreducible representation of U_{q → 0}(sl(2) ⊕ sl(2)), single base mutation matrices are introduced. The strength of the mutation is assumed to depend on the "distance" between the codons. Preliminary general predictions of the model are compared with experimental data, with a satisfactory agreement.

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