A Clifford algebra approach to simple Lie algebras of real rank two. I: The case.
A conjecture on Lie algebras admitting a regular automorphism of finite order
A nilpotent ideal in the Lie rings with automorphism of prime order.
A note on automorphism group of an n-generator nilpotent lie algebra
A note on semidirect sum of Lie algebras
In the paper there are investigated some properties of Lie algebras, the construction which has a wide range of applications like computer sciences (especially to computer visions), geometry or physics, for example. We concentrate on the semidirect sum of algebras and there are extended some theoretic designs as conditions to be a center, a homomorphism or a derivative. The Killing form of the semidirect sum where the second component is an ideal of the first one is considered as well.
A remarkable contraction of semisimple Lie algebras
Recently, E.Feigin introduced a very interesting contraction of a semisimple Lie algebra (see arXiv:1007.0646 and arXiv:1101.1898). We prove that these non-reductive Lie algebras retain good invariant-theoretic properties of . For instance, the algebras of invariants of both adjoint and coadjoint representations of are free, and also the enveloping algebra of is a free module over its centre.
Actions of Complex Lie Groups on Analytic ...-Algebras.
Algebraic characterizations of the algebra of functions and of the Lie algebra of vector fields of a manifold
Algèbre de Lie des automorphismes infinitésimaux d'une structure unimodulaire
Une structure unimodulaire est définie sur une variété différentiable par une forme élément de volume. Différentes algèbres de Lie de dimension infinie attachées à une variété unimodulaire sont introduites et leurs idéaux étudiés. Ces idéaux sont semi-simples et de dimension infinie ; aucun idéal non trivial n’admet un idéal supplémentaire. Les dérivations de ces algèbres de Lie sont données par l’algèbre des champs de vecteurs reproduisant la forme de structure à un facteur constant près.
Applications of the characteristic identity for GL(N)
Automorphisms and quasi-conformal mappings of Heisenberg-type groups.
Automorphisms of free nilpotent associative algebras.