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.
Deformations of Lie brackets: cohomological aspects
We introduce a new cohomology for Lie algebroids, and prove that it provides a differential graded Lie algebra which “controls” deformations of the structure bracket of the algebroid.
Deformations of vector fields and canonical coordinates on coadjoint orbits.
Deformed commutators on comodule algebras over coquasitriangular Hopf algebras
We construct quantum commutators on comodule algebras over coquasitriangular Hopf algebras, so that they are quantum group coinvariant and have the generalized antisymmetry and Leibniz properties. If the coquasitriangular Hopf algebra is additionally cotriangular, then the quantum commutators satisfy a generalized Jacobi identity, and turn the comodule algebra into a quantum Lie algebra. Moreover, we investigate the projective and injective dimensions of some Doi-Hopf modules over a quantum commutative...
Deformed enveloping algebras.
Degenerate principal series representations of
Degenerate series representations of the -deformed algebra .
Degenerations of nilpotent Lie algebras.
Degree one cohomology for the Lie algebras of derivations.
Demazure character formula in arbitrary Kac-Moody setting.
Demi-groupes, espaces affines et categories gauches
Der Min-Max-Satz von E. Fischer für formal-reelle Jordan-Algebren.
Der Wedderburnsche Hauptsatz für alternative Tripelsysteme und Paare.
Derivation algebras of certain nilpotent Lie algebras.
Derivation Algebras of JB-Algebras.
Derivationen und Automorphismen von Algebren, in denen die Gleichung x2 = 0 nur trivial lösbar ist.
Dérivations et déformations de certaines algèbres de Lie infinies classiques
Derivations of locally simple Lie algebras.