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A model is presented for the structure and evolution of the eukaryotic and vertebrate mitochondrial genetic codes, based on the representation theory of the Lie superalgebra A(5,0) approximately sl(6/1). A key role is played by pyrimidine and purine exchange symmetries in codon quartets.

The supersymmetric model of 1] for the evolution of the genetic code is elaborated. Energy considerations in nucleic acid strand modelling, using sl(2) polarity spin and sl(2=1) family box quartet symmetry, lead for the case of codons and anticodons to assignments of codons to 64-dimensional sl(6=1) ' A(5; 0) multiplets. In a previous paper 1] we… (More)

- C Daskaloyannis, K Kanakoglou, I Tsohantjis
- 1999

Hopf algebraic structure of the parabosonic and parafermionic algebras and paraparticle generalization of the Jordan Schwinger map Abstract: The aim of this paper is to show that there is a Hopf structure of the parabosonic and parafermionic algebras and this Hopf structure can generate the well known Hopf algebraic structure of the Lie algebras, through a… (More)

- I Tsohantjis, A Paolucci, P D Jarvis
- 1996

Certain types of generalized undeformed and deformed boson algebras which admit a Hopf algebra structure are introduced, together with their Fock-type representations and their corresponding R-matrices. It is also shown that a class of generalized Heisenberg algebras including those underlying physical models such as that of Calogero-Sutherland, is… (More)

- D S Mcanally, I Tsohantjis
- 1996

The quantum double construction of a q-deformed boson algebra possessing a Hopf algebra structure is carried out explicitly. The R-matrix thus obtained is compared with the existing literature.

- A J Bracken, D Ellinas, I Smyrnakis, I Tsohantjis
- 2008

Rules for quantizing the walker+coin parts of a classical random walk are provided by treating them as interacting quantum systems, forming a quantum statistical model of a particle (walker) immersed in a bath of other particles (coins). Quantum walks following the so called U-and ε-quantization rules are presented. The former rule involves unitary… (More)

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