Darstellungen auflösbarer Lie-p-Algebren.
Das K (..., 1)-Problem für die affinen Wurzelsysteme vom Typ An, Cn.
Das Oszillator-Kepler Problem und die Lie-Algebra.
Decomposing oscillator representations of by a super dual pair
Decomposition of reductive regular Prehomogeneous Vector Spaces
Let be a regular prehomogeneous vector space (abbreviated to ), where is a reductive algebraic group over . If is a decomposition of into irreducible representations, then, in general, the PV’s are no longer regular. In this paper we introduce the notion of quasi-irreducible (abbreviated to -irreducible), and show first that for completely -reducible ’s, the -isotypic components are intrinsically defined, as in ordinary representation theory. We also show that, in an appropriate...
Decomposition of special Jacobi sets
Décompositions en cascades des systèmes automatiques et feuilletages invariants
Defining relations for classical Lie algebras of polynomial vector fields.
Defining relations for classical Lie superalgebras without Cartan matrices.
Definition einer Dixmier-Abbildung für ? l(n, C).
Déformation de l'algèbre des courants associée au groupe de Poincaré.
Our main purpose in this paper is to compute the second group of local cohomology of the current Lie algebra GF with type Poincaré Lie group G and stated the local deformations associated.
Deformation of Lie algebras and Lie algebras of deformations
Deformation theory via deviations
Déformations 1-différentiables des algèbres de Lie attachées à une variété symplectique ou de contact
Déformations cobordales des algèbres de Lie et relativisation de la symétrie interne
Déformations dans les schémas définis par les identités de Jacobi
Déformations des algèbres de Lie locales et analogue du théorème d'algébricité de Carles.
Déformations différentielles à coefficients constants et produits de Moyal généralisés
Deformations of Batalin-Vilkovisky algebras
We show that a graded commutative algebra A with any square zero odd differential operator is a natural generalization of a Batalin-Vilkovisky algebra. While such an operator of order 2 defines a Gerstenhaber (Lie) algebra structure on A, an operator of an order higher than 2 (Koszul-Akman definition) leads to the structure of a strongly homotopy Lie algebra (-algebra) on A. This allows us to give a definition of a Batalin-Vilkovisky algebra up to homotopy. We also make a conjecture which is a...
Deformations of CR-structures on a real Lie-algebra
Sia unalgebra di Lie e (p, J) una sua struttura di Cauchy-Riemann, vale a dire J è una struttura complessa integrabile del sottospazio vettoriale p. Come è stato fatto per il caso delle strutture complesse, cfr. [GT], introduciamo il concetto di deformazione di una struttura CR. Per mezzo dei gruppi di coomologia vengono provati risultati di rigidità. In particolare ogni struttura di Lie- CR che è semisemplice è rigida. Alcuni esempi chiariscono le soluzioni particolari esposte.