Classification and evolutionary trends of icosahedral viral capsids.
Discrete Groups and Internal Symmetries of Icosahedral Viral Capsids
A classification of all possible icosahedral viral capsids is proposed. It takes into account the diversity of hexamers’ compositions, leading to definite capsid size.We showhowthe self-organization of observed capsids during their production results from definite symmetries of constituting hexamers. The division of all icosahedral capsids into four symmetry classes is given. New subclasses implementing the action of symmetry groups Z2, Z3 and S3 are found and described. They concern special cases...
On the Cauchy problem for the Yang-Mills field equations
Approximate mass formula for mesons : a model with quarks interacting by means of the Yang-Mills field
Geometrical background for the unified field theories : the Einstein-Cartan theory over a principal fibre bundle
Ternary symmetries and the Lorentz group
We show that the Lorentz and the SU(3) groups can be derived from the covariance principle conserving a Z₃-graded three-form on a Z₃-graded cubic algebra representing quarks endowed with non-standard commutation laws. The ternary commutation relations on an algebra generated by two elements lead to cubic combinations of three quarks or antiquarks that transform as Lorentz spinors, and binary quark-anti-quark combinations that transform as Lorentz vectors.
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