Relation between invertibility of Casimir operators and semisimplicity of quadratic Lie superalgebras.
Relationships between generalized Heisenberg algebras and the classical Heisenberg algebra
A Lie algebra is called a generalized Heisenberg algebra of degree n if its centre coincides with its derived algebra and is n-dimensional. In this paper we define for each positive integer n a generalized Heisenberg algebra 𝓗ₙ. We show that 𝓗ₙ and 𝓗 ₁ⁿ, the Lie algebra which is the direct product of n copies of 𝓗 ₁, contain isomorphic copies of each other. We show that 𝓗ₙ is an indecomposable Lie algebra. We prove that 𝓗ₙ and 𝓗 ₁ⁿ are not quotients of each other when n ≥ 2, but 𝓗 ₁ is a...
Remarks on integration over Lie algebras
Remarks on local Lie algebras of pairs of functions
Starting by the famous paper by Kirillov, local Lie algebras of functions over smooth manifolds were studied very intensively by mathematicians and physicists. In the present paper we study local Lie algebras of pairs of functions which generate infinitesimal symmetries of almost-cosymplectic-contact structures of odd dimensional manifolds.
Remarks on nilpotent Lie algebras of vector fields.
Remarks on the Symmetry lie Algebras of first Integrals of Scalar third Order Ordinary Differential Equation with Maximal Symmetry
Remarks to the dimension of an atypical irreducible representation of the special Lie superalgebra .
Remarque sur la cohomologie de l'algèbre de Lie des champs de vecteurs sur la sphère
Representation theory of affine superalgebras at the critical level.
Representation theory of Neveu-Schwarz and Ramond algebras II: Fock modules
In this article, we study the structure of Fock modules over super Virasoro algebras. As an application, we construct Bechi-Rouet–Stora–Tyutin type resolutions for super minimal models and their descendants.
Représentations de dimension finie de l’algèbre de Cherednik rationnelle
On donne une condition nécessaire et suffisante pour l’existence de modules de dimension finie sur l’algèbre de Cherednik rationnelle associée à un système de racines.
Représentations de groupes quantiques et permutations
Représentations des algèbres de Lie résolubles
Représentations des groupes de Lie nilpotents
Représentations des groupes quantiques
Représentations indécomposables
Représentations indécomposables de dimension finie des algèbres de Lie.
Representations of codimension one non-abelian nilradical Lie algebras.
Representations of Coxeter Groups and Hecke Algebras.
Representations of forms of a Kac-Moody algebra. (Représentations des formes d'une algèbre de Kac-Moody.)