1998/01/23 by L. Frappat, A. Sciarrino, P. Sorba · 3 citations
Biochemistry, Genetics and Molecular Biology · Chemistry · Mathematics · Physics and Astronomy · #Advanced biosensing and bioanalysis techniques #Base (topology) #Base pair #Biology #Chemistry #Combinatorics #Computer science #Crystal (programming language) #Crystal structure #Crystallography #DNA #DNA and Nucleic Acid Chemistry #Eigenvalues and eigenvectors #Gene #Genetic code #Genetics #Mathematics #Operator (biology) #Physics #Quantum mechanics #RNA #RNA and protein synthesis mechanisms #math.QA #physics.bio-ph #q-bio
paper · pdf · doi:10.1016/s0375-9601(98)00761-0
published as Phys.Lett. A250 (1998) 214-221 · LaTeX-2e document, package amsfonts, 11 pages
arxiv created 1998/01/23 · openalex publication_date 1998/12/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The quantum enveloping algebra Uq(sl(2) ⊕ sl(2)) in the limit q → 0 is proposed as a symmetry algebra for the genetic code. In this approach the triplets of nucleotids or codons in the DNA chain are classified in crystal bases, tensor product of Uq → 0(sl(2) ⊕ sl(2)) representations. Such a construction might be compared to the baryon classification from quark building blocks in elementary particles physics, one of the main differences standing in the property of a crystal base to provide a natural order in the state constituents, this order being crucial in the codon. Then an operator ensuring the correspondence codon/amino-acid can be constructed out of the above algebra. It will be called the reading operator, and be such that two codons relative to the same (resp. different) amino-acid(s) acquire the same (resp. different) eigenvalue(s).