dorsal/arxiv
View SchemaA crystal base for the genetic code
| Authors | L. Frappat, A. Sciarrino, P. Sorba |
|---|---|
| Categories | |
| ArXiv ID | physics/9801027 |
| URL | https://arxiv.org/abs/physics/9801027 |
| DOI | 10.1016/S0375-9601(98)00761-0 |
| Journal | Phys.Lett. A250 (1998) 214-221 |
Abstract
The quantum enveloping algebra U_q(sl(2) \oplus sl(2)) in the limit q \to 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 U_{q \to 0}(sl(2) \oplus 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).
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"abstract": "The quantum enveloping algebra U_q(sl(2) \\oplus sl(2)) in the limit q \\to 0\nis proposed as a symmetry algebra for the genetic code. In this approach the\ntriplets of nucleotids or codons in the DNA chain are classified in crystal\nbases, tensor product of U_{q \\to 0}(sl(2) \\oplus sl(2)) representations. Such\na construction might be compared to the baryon classification from quark\nbuilding blocks in elementary particles physics, one of the main differences\nstanding in the property of a crystal base to provide a natural order in the\nstate constituents, this order being crucial in the codon. Then an operator\nensuring the correspondence codon/amino-acid can be constructed out of the\nabove algebra. It will be called the reading operator, and be such that two\ncodons relative to the same (resp. different) amino-acid(s) acquire the same\n(resp. different) eigenvalue(s).",
"arxiv_id": "physics/9801027",
"authors": [
"L. Frappat",
"A. Sciarrino",
"P. Sorba"
],
"categories": [
"physics.bio-ph",
"math.QA",
"q-bio"
],
"doi": "10.1016/S0375-9601(98)00761-0",
"journal_ref": "Phys.Lett. A250 (1998) 214-221",
"title": "A crystal base for the genetic code",
"url": "https://arxiv.org/abs/physics/9801027"
},
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