Commutator algebras arising from splicing operations

• Autorzy: Sergei Sverchkov
• Języki publikacji: EN

Abstrakty

EN

We prove that the variety of Lie algebras arising from splicing operation coincides with the variety CM of centreby-metabelian Lie algebras. Using these Lie algebras we find the minimal dimension algebras generated the variety CM and the variety of its associative envelope algebras. We study the splicing n-ary operation. We show that all n-ary (n > 2) commutator algebras arising from this operation are nilpotent of index 3. We investigate the generalization of the splicing n-ary operation, and we formulate a series of open problems.

Słowa kluczowe

EN

Lie algebras; Algebraic formalization of DNA recombination; Splicing algebras; Varieties of algebras

Kategorie tematyczne

• 17A40: Ternary compositions
• 17A42: Other n -ary compositions ( n ≥ 3 )
• 17D92: Genetic algebras
• 17B60: Lie (super)algebras associated with other structures (associative, Jordan, etc.)

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2014
• Tom: 12
• Numer: 11
• Strony: 1687-1699

Daty

wydano

2014-11-01

online

2014-06-29

Twórcy

autor

Sergei Sverchkov

• Russian Presidential Academy of National Economy and Public Administration, Siberian Branch

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-014-0438-6