Réduction de produits semi-directs et conjecture de Gel'fand et Kirillov
Reductive homogeneous spaces and nonassociative algebras
The purpose of these survey notes is to give a presentation of a classical theorem of Nomizu [Nom54] that relates the invariant affine connections on reductive homogeneous spaces and nonassociative algebras.
Reelle Jordanalgebren mit endlicher Spur.
Reflections in bounded symmetric domains
Regular Elements of Finite Reflection Groups.
Regular Fréchet-Lie groups of invertible elements in some inverse limits of unital involutive Banach algebras.
Regular Lie groups and a theorem of Lie-Palais.
Regular operators on partial inner product spaces
Regular representation of the quantum Heisenberg double ( is a root of unity)
Regularity of the four dimensional Sklyanin algebra
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...
Relative congruence distributivity within quasivarieties of nearly associative Φ-algebras
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 bidual of Banach algebras (the case)
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