Sur l'idéal du cône autocommutant des super algèbres de Lie basiques classiques et étranges
Cet article démontre que le cône de la partie impaire d’une super algèbre de Lie basique classique ou étrange défini par les équations est réduit.
Symplectic structure in the enveloping algebra of a Lie algebra
Systèmes de générateurs normalisants
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 Capelli identity, the double commutant theorem and multiplicity-free-actions.
The center of the universal enveloping algebra of a Lie algebra in characteristic
The centralizer of a Lie algebra in an enveloping algebra.
The finite dimension property of the irreducible representations of Noetherian -Lie algebras.
The Hochschild cohomology ring of regular maximal primitive quotients of enveloping algebras of semisimple Lie algebras
The Kazhdan-Lusztig Conjecture for Generalized Verma Modules
The Last Possible Place of Unitarity for Certain Highest Weight Modules.
The Prime Spectrum of the Enveloping Algebra of a Reductive Lie Algebra.
The socle filtration of a Verma module
The tensor category of linear maps and Leibniz algebras.
Tor-invariance des algèbres de Lie résolubles et des algèbres filtrées
Towards the Jantzen conjecture
Towards the Jantzen conjecture. II
Towards the Jantzen conjecture. III
Towards the Kazhdan-Lusztig conjecture
Twisted Hopf Algebras.