Symmetry algebras and normal forms of third order ordinary differential equations.
Symplectic integrators to stochastic Hamiltonian dynamical systems derived from composition methods.
Symplectic K2 of Laurent polynomials, associated Kac-Moody groups and Witt rings.
Symplectic models of groups with noncommutative spaces
Symplectic structure in the enveloping algebra of a Lie algebra
Symplectic torus actions with coisotropic principal orbits
In this paper we completely classify symplectic actions of a torus on a compact connected symplectic manifold when some, hence every, principal orbit is a coisotropic submanifold of . That is, we construct an explicit model, defined in terms of certain invariants, of the manifold, the torus action and the symplectic form. The invariants are invariants of the topology of the manifold, of the torus action, or of the symplectic form.In order to deal with symplectic actions which are not Hamiltonian,...
Système de poids sur une algèbre de Lie nilpotente.
Systèmes de générateurs normalisants
Systèmes de racines infinis
Systèmes hamiltoniens complètement intégrables et déformations d'algèbres de Lie.
Some of the completely integrable Hamiltonian systems obtained through Adler-Kostant-Symes theorem rely on two distinct Lie algebra structures on the same underlying vector space. We study here the cases when two structures are linked together by deformations.
-systems and -systems for quantum affinizations of quantum Kac-Moody algebras.
-гомоморфизмы колец
(T)-algèbres non associatives
Tensor Products and Discriminants of Unital Quadratic Forms over Commutative Rings.
Tensor products of finite and infinite dimensional representations of semisimple Lie algebras
Ternärringe ohne Planaritätsbedingung
Ternary algebras and calculus of cubic matrices
We study associative ternary algebras and describe a general approach which allows us to construct various classes of ternary algebras. Applying this approach to a central bimodule with a covariant derivative we construct a ternary algebra whose ternary multiplication is closely related to the curvature of the covariant derivative. We also apply our approach to a bimodule over two associative (binary) algebras in order to construct a ternary algebra which we use to produce a large class of Lie algebras....
Ternary Jordan homomorphisms in -ternary algebras.
Test sets in free metabelian Lie algebras.
Tetrahedron equation and the algebraic geometry