Sur le centre de l'algèbre enveloppante d'une algèbre de Takiff
Sur les quotients premiers de l'algèbre enveloppante d'une algèbre de Lie résoluble
The adjoint representation of group algebras and enveloping algebras.
In this paper we study the Hopf adjoint action of group algebras and enveloping algebras. We are particularly concerned with determining when these representations are faithful. Delta methods allow us to reduce the problem to certain better behaved subalgebras. Nevertheless, the problem remains open in the finite group and finite-dimensional Lie algebra cases.
The catenarity of the positive part of the quantized enveloping algebra of a simple Lie algebra of type . (La caténarité de la partie positive de l'algèbre enveloppante quantifiée de l'algèbre de Lie simple de type .)
The center of the Dipper Donkin quantized matrix algebra.
The finite dimension property of the irreducible representations of Noetherian -Lie algebras.
Λ-modules and holomorphic Lie algebroid connections
Let X be a complex smooth projective variety, and G a locally free sheaf on X. We show that there is a one-to-one correspondence between pairs (Λ, Ξ), where Λ is a sheaf of almost polynomial filtered algebras over X satisfying Simpson’s axioms and is an isomorphism, and pairs (L, Σ), where L is a holomorphic Lie algebroid structure on and Σ is a class in F 1 H 2(L, ℂ), the first Hodge filtration piece of the second cohomology of L. As an application, we construct moduli spaces of semistable...
Два замечания о PI-алгебрах
Квантовый аналог теоремы Пуанкаре-Биркгофа-Витта.