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- J D Bashford, I Tsohantjis, P D Jarvis
- Proceedings of the National Academy of Sciences…
- 1998

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.

- 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)

- Ioannis Tsohantjis, Alex C Kalloniatis, Peter D Jarvis
- 1996

The combinatorics of the BPHZ subtraction scheme for a class of ladder graphs for the three point vertex in φ 3 theory is transcribed into certain connectivity relations for marked chord diagrams (knots with transversal intersections). The resolution of the singular crossings using the equivalence relations in these examples provides confirmation of a… (More)

- P D Jarvis, S P Corney, I Tsohantjis
- 1999

A covariant spinor representation of iosp(d, 2/2) is constructed for the quantization of the spinning relativistic particle. It is found that, with appropriately defined wavefunc-tions, this representation can be identified with the state space arising from the canonical extended BFV-BRST quantization of the spinning particle with admissible gauge fixing… (More)

Brownian motion on a smash line algebra (a smash or braided version of the algebra resulting by tensoring the real line and the generalized paragrassmann line algebras), is constructed by means of its Hopf algebraic structure. Further, statistical moments, non stationary generalizations and its diffusion limit are also studied. The ensuing diffusion… (More)

- P D Jarvis, I Tsohantjis
- 1995

A covariant scalar representation of iosp(d, 2/2) is constructed and analysed in comparison with existing methods for the quantization of the scalar relativistic particle. It is found that, with appropriately defined wavefunctions, this iosp(d, 2/2) produced representation can be identified with the state space arising from the canonical BFV-BRST… (More)

Generalised scalar particle quantisation in 1 + 1 dimensions and D(2, 1; α) Abstract. The exceptional superalgebra D(2, 1; α) has been classified as a candidate conformal supersymmetry algera in two dimensions. We propose an alternative interpretation of it as an extended BFV-BRST quantisation superalgebra in 2D (D(2, 1; 1) ≃ osp(2, 2|2)). A superfield… (More)

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