Sergei R. Sverchkov
Novosibirsk State University, Russia

Algebraic Theory of DNA Recombination.

Abstract: In this paper we develop and construct the algebraic theory for DNA recom­bination within of intersection of two areas: theoretical genetics and theory of non-associative algebras. We investigate the structure and representation of n-ary algebras arising from DNA recombination, where n is a number of DNA segments participating in recombination. For the algebraic formalization of DNA recombination we will use the basic idea of the formalization of algebra of obser­vables in quantum mechanics, which was first realized by Pascual Jordan.