Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Discrete Groups and Internal Symmetries of Icosahedral Viral Capsids

100%

Kerner R.

Molecular Based Mathematical Biology

2014

tom 2

nr 1

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 of highly symmetric capsids whose T = p2 + pq + q2-number is of particular type corresponding to the cases (p, 0) or (p, p).

Ternary symmetries and the Lorentz group

100%

Kerner R.

Banach Center Publications

2011

tom 93

nr 1

51-58

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.

Ograniczanie wyników

1 Banach Center Publications

1 Molecular Based Mathematical Biology

2 Kerner R.

1 2014

1 2011

Wyniki wyszukiwania

Discrete Groups and Internal Symmetries of Icosahedral Viral Capsids

Ternary symmetries and the Lorentz group