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The structure and representation of n-ary algebras of DNA recombination

100%

Sverchkov S.

Open Mathematics

2011

tom 9

nr 6

1193-1216

In this paper 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. Our methods involve a generalization of the Jordan formalization of observables in quantum mechanics in n-ary splicing algebras. It is proved that every identity satisfied by n-ary DNA recombination, with no restriction on the degree, is a consequence of n-ary commutativity and a single n-ary identity of the degree 3n-2. It solves the well-known open problem in the theory of n-ary intermolecular recombination.

Representations of Jordan algebras and special functions

100%

Travaglini G.

Colloquium Mathematicum

1991

tom 62

nr 2

257-266

This paper is concerned with the action of a special formally real Jordan algebra U on an Euclidean space E, with the decomposition of E under this action and with an application of this decomposition to the study of Bessel functions on the self-adjoint homogeneous cone associated to U.

Ograniczanie wyników

1 Colloquium Mathematicum

1 Open Mathematics

1 Sverchkov S.

1 Travaglini G.

1 2011

1 1991

Wyniki wyszukiwania

The structure and representation of n-ary algebras of DNA recombination

Representations of Jordan algebras and special functions