Constructions of representations of rank two semisimple Lie algebras with distributive lattices.
CR-structures on a real Lie algebra
Given the notion of -structures without torsion on a real dimensional Lie algebra we study the problem of their classification when is a reductive algebra.
Das K (..., 1)-Problem für die affinen Wurzelsysteme vom Typ An, Cn.
Decomposition of reductive regular Prehomogeneous Vector Spaces
Let be a regular prehomogeneous vector space (abbreviated to ), where is a reductive algebraic group over . If is a decomposition of into irreducible representations, then, in general, the PV’s are no longer regular. In this paper we introduce the notion of quasi-irreducible (abbreviated to -irreducible), and show first that for completely -reducible ’s, the -isotypic components are intrinsically defined, as in ordinary representation theory. We also show that, in an appropriate...
Decomposition of special Jacobi sets
Defining relations for classical Lie algebras of polynomial vector fields.
Defining relations for classical Lie superalgebras without Cartan matrices.
Derr Zentralisator einer Liealgebra in einer einhüllenden Algebra.
Determination of the Interwining Operators for Holomorphically Induced Representations of SU (p,q).
Differential Operators on Homogeneous Spaces. I. Irreducibility of the Associated Variety for Annihilators of Induced Modules.
Dimension homologique de modules simples
Dipolarizations in semisimple Lie algebras and homogeneous parakähler manifolds.
Drinfeld doubles via derived Hall algebras and Bridgeland's Hall algebras
Let be a finitary hereditary abelian category. We give a Hall algebra presentation of Kashaev’s theorem on the relation between Drinfeld double and Heisenberg double. As applications, we obtain realizations of the Drinfeld double Hall algebra of via its derived Hall algebra and Bridgeland’s Hall algebra of -cyclic complexes.
Elementary transformations of Dynkin graphs and singularities on quartic surfaces.
Extended affine root systems of type .
Extremal projectors in the semi-classical case
Using extremal projectors, Zhelobenko solved extremal equations in a generic Verma module of a complex semi-simple Lie algebra. We will solve similar equations in the semi-classical case. Our proof will be geometric. In the appendix, we give a factorization for the extremal projector of the Virasoro algebra in the semi-classical case.
Family algebras.
Fitting decomposition of Casimir operators of quadratic Lie superalgebras.
Fixpunktmengen von halbeinfachen Automorphismen in halbeinfachen Lie-Algebren.
Formal deformations and principal series representations of and
In this note, we study formal deformations of derived representations of the principal series representations of . In particular, we recover all the representations of the derived principal series by deforming one of them. Similar results are also obtained for .