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Pre-derivations and description of non-strongly nilpotent filiform Leibniz algebras

K.K. Abdurasulov, A.Kh. Khudoyberdiyev, M. Ladra, A.M. Sattarov (2021)

Communications in Mathematics

In this paper we give the description of some non-strongly nilpotent Leibniz algebras. We pay our attention to the subclass of nilpotent Leibniz algebras, which is called filiform. Note that the set of filiform Leibniz algebras of fixed dimension can be decomposed into three disjoint families. We describe the pre-derivations of filiform Leibniz algebras for the first and second families and determine those algebras in the first two classes of filiform Leibniz algebras that are non-strongly nilpotent....

$T$ -гомоморфизмы колец

Л.А. Скорняков (1957)

Matematiceskij sbornik

The Conway-Norton algebras for ?(6,3), ?(7,3), F'24, and their full automorphism groups.

M. Kitazume (1987)

Inventiones mathematicae

The orthogonal automorphism groups $Ortaut A$ for $ℤ_{3}$ -orthograded quasimonocomposition algebras $A$ of dimension 9 satisfying the conditions $dim A_{0} = 1$ , $A_{1} A_{2} = 0$ .

Gaĭnov, A.T. (2005)

Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]

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 – 33 of 33

Pre-derivations and description of non-strongly nilpotent filiform Leibniz algebras

$T$ -гомоморфизмы колец

The Conway-Norton algebras for ?(6,3), ?(7,3), F'24, and their full automorphism groups.

The orthogonal automorphism groups $Ortaut A$ for $ℤ_{3}$ -orthograded quasimonocomposition algebras $A$ of dimension 9 satisfying the conditions $dim A_{0} = 1$ , $A_{1} A_{2} = 0$ .

The Wells map for abelian extensions of 3-Lie algebras

Бинарно лиевы алгебры низших рангов

Дифференцирования монокомпозиционных алгебр

Инвариантные алгебры Ли и алгебры Ли с малым центроидом

О $*$ -дифференцированиях первичных альтернативных и мальцевских алгебр

О дифференцированных приведенных свободных алгебр

Ортогональные суммы невырожденных алгебр с единицей.

Симметрические подалгебры монокомпозиционных алгебр

Сопряженность подалгебр Картана в $n$ -лиевых алгебрах

Currently displaying 21 – 33 of 33