A classification scheme of Amino Acids in the Genetic Code by Group Theory

TL;DR

This paper introduces a novel classification scheme for amino acids based on Lie superalgebra symmetries, linking mathematical structures to biochemical properties and enabling predictions of polarity and volume.

Contribution

It applies Lie superalgebra representations to classify amino acids and predict their biochemical properties, bridging mathematics and biochemistry.

Findings

Successful derivation of amino acid assignments from Lie superalgebra osp(5|2)

Approximate calculations of amino acid polarity and volume

Motivation of symmetry-based classification in biochemical context

Abstract

We derive the amino acid assignment to one codon representation (typical 64-dimensional irreducible representation) of the basic classical Lie superalgebra osp(5|2) from biochemical arguments. We motivate the approach of mathematical symmetries to the classification of the building constituents of the biosphere by analogy of its success in particle physics and chemistry. The model enables to calculate polarity and molecular volume of amino acids to a good approximation.