Lie algebras
Malcev-Moduln.
Matrici simmetriche quantiche e teoria delle rappresentazioni
Matrix canonical realizations of the Lie algebra . I. Basic formulæ and classification
Minimal realizations of classical simple Lie algebras through deformations
Modules de plus haut poids unitarisables sur la super-algèbre de Virasoro tordue
Dans cet article, on classifie les modules de plus haut poids unitarisables sur la super-algèbre de Virasoro tordue.
-coinvariants des -modules -localement nilpotents
New Unitary Representations of Loop Groups.
Nilpotent cohomology of the oscillator representation.
Noncomplete affine structures on Lie algebras of maximal class.
Non-weight modules over the super Schrödinger algebra
We construct a family of non-weight modules which are free -modules of rank 2 over the super Schrödinger algebra in -dimensional spacetime. We determine the isomorphism classes of these modules. In particular, free -modules of rank 2 over are also constructed and classified. Moreover, we obtain the sufficient and necessary conditions for such modules to be simple.
Normalisation d'une représentation non linéaire d'une algèbre de Lie
On a Construction of Representations and a Problem of Enright.
On a theorem of E. Cartan
On affine Kac-Moody Lie algebras
On bounded generalized Harish-Chandra modules
Let be a complex reductive Lie algebra and be any reductive in subalgebra. We call a -module bounded if the -multiplicities of are uniformly bounded. In this paper we initiate a general study of simple bounded -modules. We prove a strong necessary condition for a subalgebra to be bounded (Corollary 4.6), i.e. to admit an infinite-dimensional simple bounded -module, and then establish a sufficient condition for a subalgebra to be bounded (Theorem 5.1). As a result we are able to...
On category for cyclotomic rational Cherednik algebras
We study equivalences for category of the rational Cherednik algebras of type : a highest weight equivalence between and for and an action of on an explicit non-empty Zariski open set of parameters ; a derived equivalence between and whenever and have integral difference; a highest weight equivalence between and a parabolic category for the general linear group, under a non-rationality assumption on the parameter . As a consequence, we confirm special cases of conjectures...
On characteristic identities for Lie algebras
On dimension formulas for representations.
On formal series and infinite products over Lie algebras.