On the basic algebraic operations in solvable Lie groups.
On the basic representation of the affine Kac-Moody Lie algebras
On the behaviour of Jordan-algebra norms on associative algebras
We prove that for a suitable associative (real or complex) algebra which has many nice algebraic properties, such as being simple and having minimal idempotents, a norm can be given such that the mapping (a,b) ↦ ab + ba is jointly continuous while (a,b) ↦ ab is only separately continuous. We also prove that such a pathology cannot arise for associative simple algebras with a unit. Similar results are obtained for the so-called "norm extension problem", and the relationship between these results...
On the Bernstein-Gelfand-Gelfand resolution and the Duflo sum formula
On the braiding on a Hopf algebra in a braided category.
On the Cartan subalgebras of Lie algebras over small fields.
On the center of a left Jordan groupoid
On the center of . (Sur le centre de .)
On the centralizer of K in the universal enveloping algebra of SO(n,1) and SU(n,1).
On the characteristic polynomials of orbital varieties
On the Characterization of Primitive Ideals in Enveloping Algebras.
On the Chevalley restriction theorem.
On the classification of -dimensional -manifold algebras
-manifold algebras are focused on the algebraic properties of the tangent sheaf of -manifolds. The local classification of 3-dimensional -manifolds has been given in A. Basalaev, C. Hertling (2021). We study the classification of 3-dimensional -manifold algebras over the complex field .
On the classification of 3-dimensional coloured Lie algebras
In this paper, complex 3-dimensional Γ-graded ε-skew-symmetric and complex 3-dimensional Γ-graded ε-Lie algebras with either 1-dimensional or zero homogeneous components are classified up to isomorphism.
On the classification of 3-dimensional non-associative division algebras over -adic fields
Let be a prime and a -adic field (a finite extension of the field of -adic numbers ). We employ the main results in [12] and the arithmetic of elliptic curves over to reduce the problem of classifying 3-dimensional non-associative division algebras (up to isotopy) over to the classification of ternary cubic forms over (up to equivalence) with no non-trivial zeros over . We give an explicit solution to the latter problem, which we then relate to the reduction type of the jacobian...
On the classification of Moore algebras and their deformations.
On the classification of primitive ideals for complex classical Lie algebras, II
On the classification of primitive ideals for complex classical Lie algebras, I
On the classification of primitive ideals for complex classical Lie algebras, III
On the classification of the Lie algebras .