# Lie superalgebras and the multiplet structure of the genetic code. II. Branching schemes

@article{Forger1999LieSA, title={Lie superalgebras and the multiplet structure of the genetic code. II. Branching schemes}, author={Michael Forger and Sebastian Sachse}, journal={Journal of Mathematical Physics}, year={1999}, volume={41}, pages={5423-5444} }

Continuing our attempt to explain the degeneracy of the genetic code using basic classical Lie superalgebras, we present the branching schemes for the typical codon representations (typical 64-dimensional irreducible representations) of basic classical Lie superalgebras and find three schemes that do reproduce the degeneracies of the standard code, based on the orthosymplectic algebra osp(5|2) and differing only in details of the symmetry breaking pattern during the last step.

## 12 Citations

### Extending the Search for Symmetries in the Genetic Code

- Mathematics
- 2003

We report on the search for symmetries in the genetic code involving the medium rank simple Lie algebras $B_6 = {\mathfrak{so}}(13)$ and $D_7 = {\mathfrak {so}}(14)$, in the context of the algebraic…

### ON AMINO ACID AND CODON ASSIGNMENT IN ALGEBRAIC MODELS FOR THE GENETIC CODE

- Mathematics
- 2010

We give a list of all possible schemes for performing amino acid and codon assignments in algebraic models for the genetic code, which are consistent with a few simple symmetry principles, in…

### Horizontal symmetry in the algebraic approach of genetic code

- Computer Science
- 2013

Using concepts of physics of elementary particles concerning the breaking of symmetry and grannd unified theory we propose to study with the algebraic approximation the degeneracy finded in the…

### A CLASSIFICATION SCHEME OF AMINO ACIDS IN THE GENETIC CODE BY GROUP THEORY

- Computer Science
- 2012

A group theoretical model is provided that enables us to calculate polarity and molecular volume of amino acids to a good approximation and derive the amino acid assignment to one codon representation of the basic classical Lie superalgebra osp(5|2) from biochemical arguments.

### Degeneracy in the Genetic Code : How and Why ?

- Biology
- 2009

In the genetic code, which is nearly universal among all known organisms, most amino acids are coded for by more than one codon. For example for half of the genetic code’s sixty-four codons, the…

### Mathematical models for studying the properties of the genetic code

- Biology
- 2017

A brief retrospect of the developed mathematical models to study the properties of the genetic code is made to find an answer of the question of why nature has chosen contemporary genetic code to the other theoretical codes.

### Symmetry in biology: from genetic code to stochastic gene regulation.

- PhysicsIET systems biology
- 2010

This review discusses two examples of the application of group theoretical methods, which constitute the mathematical discipline for a quantitative description of the idea of symmetry, to genetics: the algebraic approach to the evolution of the genetic code and the stochastic modelling of what may be regarded as the simplest possible example of a genetic network.

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