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

Sergei Sverchkov (2011)

Open Mathematics

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....

The Wells map for abelian extensions of 3-Lie algebras

Youjun Tan, Senrong Xu (2019)

Czechoslovak Mathematical Journal

The Wells map relates automorphisms with cohomology in the setting of extensions of groups and Lie algebras. We construct the Wells map for some abelian extensions $0 \to A ↪ L \overset{π}{\to} B \to 0$ of 3-Lie algebras to obtain obstruction classes in $H^{1} (B, A)$ for a pair of automorphisms in $Aut (A) \times Aut (B)$ to be inducible from an automorphism of $L$ . Application to free nilpotent 3-Lie algebras is discussed.

Displaying 21 – 32 of 32

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

The Wells map for abelian extensions of 3-Lie algebras

Два класса центральных простых $n$ -лиевых алгебр

К теории n-лиевых алгебр

Мономиальные $n$ -лиевы алгебры.

О ниль-элементах и ниль-подмножествах в n-лиевых алгебрах.

О простых $n$ -лиевых алгебрах.

Об $n$ -лиевой алгебре якобианов

Об аналогах критериев Картана для $n$ -лиевых алгебр

Простые фактор-алгебры и подалгебры алгебр якобианов

разрешимость в представлениях $n$ -лиевых алгебр

Сопряженность подалгебр Картана в $n$ -лиевых алгебрах

Currently displaying 21 – 32 of 32