Real and Complex Noncommutative Jordan Banch Algebras.
Real Hamiltonian forms of affine Toda models related to exceptional Lie algebras.
Réalisation locale des systèmes non linéaires, algèbres de Lie filtrées transitives et séries génératrices non commutatives.
Recent advances in enveloping algebras of semi-simple Lie-algebras
Recent results on the derived length of Lie solvable group algebras.
Recent trends in the field of Jordan-Banach algebras
Recognizing cluster algebras of finite type.
Reduced models of Albert algebras.
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...