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.
Derivation algebras of certain nilpotent Lie 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.
Derivations of quasi -algebras.
Derivations of the algebra . (Dérivations de l'algèbre .)
Derivations of the Lie algebras of analytic vector fields
Derivations of the subalgebras intermediate the general linear Lie algebra and the diagonal subalgebra over commutative rings
Let be an arbitrary commutative ring with identity, the general linear Lie algebra over , the diagonal subalgebra of . In case 2 is a unit of , all subalgebras of containing are determined and their derivations are given. In case 2 is not a unit partial results are given.
Derivations on the Nijenhuis-Schouten bracket algebra
Derivations on the restricted Nijenhuis-Schouten bracket algebra
Derr Zentralisator einer Liealgebra in einer einhüllenden Algebra.