Une cohomologie pour les algèbres de Lie de Poisson homogènes
Une note sur les fonctions invariantes
Une théorie algébrique des bases et familles basiques des algèbres de Lie libres
Unified computational approach to nilpotent algebra classification problems
In this article, we provide an algorithm with Wolfram Mathematica code that gives a unified computational power in classification of finite dimensional nilpotent algebras using Skjelbred-Sund method. To illustrate the code, we obtain new finite dimensional Moufang algebras.
Unipotent representations and Dixmier algebras
Uniqueness of decomposition of pseudo-Riemannian superalgebras
This paper is primarily concerned with pseudo-Riemannian superalgebras, which are superalgebras endowed with pseudo-Riemannian non-degenerate supersymmetric consistent bilinear forms. Decompositions of pseudo-Riemannian superalgebras whose left centers are isotropic and whose left centers are not isotropic are investigated.
Unitarisabilité des modules de Harish-Chandra et produits tensoriels de -modules. le cas de
Unitary dilations of commutation relations asscociated to alternating bilinear forms.
Unitary representations of the Virasoro algebra
Unitary representations of the Virasoro algebra and a conjecture of Kac
Unitary structure in representations of infinite-dimensional groups and a convexity theorem.
Universal Bethe ansatz and scalar products of Bethe vectors.
Universal central extension of direct limits of Hom-Lie algebras
We prove that the universal central extension of a direct limit of perfect Hom-Lie algebras is (isomorphic to) the direct limit of universal central extensions of . As an application we provide the universal central extensions of some multiplicative Hom-Lie algebras. More precisely, we consider a family of multiplicative Hom-Lie algebras and describe the universal central extension of its direct limit.
Universal envelopes of Malcev algebras: pointed Moufang bialgebras.
Universal enveloping algebras of Leibniz algebras and (co)homology.
Universal lifting theorem and quasi-Poisson groupoids
We prove the universal lifting theorem: for an -simply connected and -connected Lie groupoid with Lie algebroid , the graded Lie algebra of multi-differentials on is isomorphic to that of multiplicative multi-vector fields on . As a consequence, we obtain the integration theorem for a quasi-Lie bialgebroid, which generalizes various integration theorems in the literature in special cases. The second goal of the paper is the study of basic properties of quasi-Poisson groupoids. In particular,...
Universal -differential calculus and -analog of homological algebra.
Universal Verma modules and the Misra-Miwa Fock space.
Universelle versus relative Einhüllende: Eine geometrische Untersuchung von Quotienten von universellen Einhüllenden halbeinfacher Lie-Algebren.
Unrefined minimal K-types for p-adic groups.