The Image of the Enveloping Algebra and Irreducibility of Induced Representations of Exponential Lie Groups.
The Kuranishi space of complex parallelisable nilmanifolds
We show that the deformation space of complex parallelisable nilmanifolds can be described by polynomial equations but is almost never smooth. This is remarkable since these manifolds have trivial canonical bundle and are holomorphic symplectic in even dimension. We describe the Kuranishi space in detail in several examples and also analyse when small deformations remain complex parallelisable.
The Leibniz algebras whose subalgebras are ideals
In this paper we obtain the description of the Leibniz algebras whose subalgebras are ideals.
The meaning of time and covariant superderivatives in supermechanics.
The structure of complete left-symmetric algebras.
The Variety of Leibniz Algebras Defined by the Identity x(y(zt)) ≡ 0
2000 Mathematics Subject Classification: Primary: 17A32; Secondary: 16R10, 16P99, 17B01, 17B30, 20C30Let F be a field of characteristic zero. In this paper we study the variety of Leibniz algebras 3N determined by the identity x(y(zt)) ≡ 0. The algebras of this variety are left nilpotent of class not more than 3. We give a complete description of the vector space of multilinear identities in the language of representation theory of the symmetric group Sn and Young diagrams. We also show that the...
Tor-invariance des algèbres de Lie résolubles et des algèbres filtrées
Triple automorphisms of simple Lie algebras
An invertible linear map on a Lie algebra is called a triple automorphism of it if for . Let be a finite-dimensional simple Lie algebra of rank defined over an algebraically closed field of characteristic zero, an arbitrary parabolic subalgebra of . It is shown in this paper that an invertible linear map on is a triple automorphism if and only if either itself is an automorphism of or it is the composition of an automorphism of and an extremal map of order .
Über Algebren mit nilpotenten assoziierten Lie-Ringen
Über Ringe mit auflösbaren assoziierten Lie-Ringen
Underlying Lie algebras of quadratic Novikov algebras
Novikov algebras were introduced in connection with the Poisson brackets of hydrodynamic type and the Hamiltonian operators in formal variational calculus. In this note we prove that the underlying Lie algebras of quadratic Novikov algebras are 2-step nilpotent. Moreover, we give the classification up to dimension .
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Varieties of nilpotent Lie algebras of dimension less than 8
Wild automorphisms of nilpotent-by-abelian Lie algebras.
Алгебры Ли с алгебраическим присоединенным представлением
База свободных полинильпотентных алгебр Ли
Инвариантные алгебры Ли и алгебры Ли с малым центроидом
Инвариантные упорядочения в разрешимых группах Ли.
К проблеме энгелевости
К теории n-лиевых алгебр