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.
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Unrefined minimal K-types for p-adic groups.
Unteralgebren von ...(2, IR) und Untergruppen von LF (2,IR).
Variation of complex structures and variation of Lie algebras.
Variational calculus on Lie algebroids
It is shown that the Lagrange's equations for a Lagrangian system on a Lie algebroid are obtained as the equations for the critical points of the action functional defined on a Banach manifold of curves. The theory of Lagrangian reduction and the relation with the method of Lagrange multipliers are also studied.
Variétés de drapeaux et réseaux de Toda.
Varieties of dialgebras and conformal algebras.
Varieties of modules over tubular algebras
We classify the irreducible components of varieties of modules over tubular algebras. Our results are stated in terms of root combinatorics. They can be applied to understand the varieties of modules over the preprojective algebras of Dynkin type 𝔸₅ and 𝔻₄.
Varieties of nilpotent Lie algebras of dimension less than 8
Vecteurs différentiables dans les représentations unitaires des groupes de Lie