Coordinates of maximal roots of weakly non-negative unit forms
Corrections for “The closure diagram for nilpotent orbits of the split real form of E 8”
Covariant star-products
Covering-Avoidance for Satured Formations of Solvable Lie Algebras.
Critical points of the product of powers of linear functions and families of bases of singular vectors
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.
Crystal bases for the quantum queer superalgebra
In this paper, we develop the crystal basis theory for the quantum queer superalgebra . We define the notion of crystal bases and prove the tensor product rule for -modules in the category . Our main theorem shows that every -module in the category has a unique crystal basis.
Crystal bases of Verma modules for quantum affine Lie algebras
Crystals of Fock spaces and cyclotomic rational double affine Hecke algebras
We define the -restriction and -induction functors on the category of the cyclotomic rational double affine Hecke algebras. This yields a crystal on the set of isomorphism classes of simple modules, which is isomorphic to the crystal of a Fock space.
Cuadrados especiales en la categoría de álgebras de Lie.
In this paper the concepts of mixed cartesian square and quasi-cocartesian square, already known in the category of groups, are adapted to the category of Lie algebras. These concepts can be used in the study of the obstructions of Lie algebra extensions in the same way that Wu has studied the obstructions of group extensions.
CUP-Product for Leibnitz Cohomology and Dual Leibniz Algebras.
Cyclic homology and the Lie algebra homology of matrices.
Cyclotomic identities, Lie superalgebras and bicharacters. (Identité cyclotomique, superalgèbres de Lie et bicaractères.)
Darstellungen auflösbarer Lie-p-Algebren.
Das K (..., 1)-Problem für die affinen Wurzelsysteme vom Typ An, Cn.
Das Oszillator-Kepler Problem und die Lie-Algebra.
Decomposing oscillator representations of by a super dual pair
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
Décompositions en cascades des systèmes automatiques et feuilletages invariants