Filtrations on generalized Verma modules for Hermitian symmetric pairs.
Filtrations on Verma modules
Fine gradings of low-rank complex Lie algebras and of their real forms.
Finely homogeneous computations in free Lie algebras.
Finite dimensional algebras and highest weight categories.
Finite dimensional modules of some quantum groups over Fp (v).
(Finite) presentations of the Albert-Frank-Shalev Lie algebras
In questo lavoro vengono studiate le algebre di Albert-Frank-Shalev. Queste sono algebre di Lie modulari di dimensione infinita, ottenute da un loop di certe algebre semplici di dimensione finita. Si dimostra che le algebre di Albert-Frank-Shalev sono unicamente determinate, a meno di elementi centrali o secondo centrali, da un certo quoziente finito-dimensionale. Tale risultato si ottiene dando la presentazione finita di un'algebra il cui quoziente sul secondo centro (infinito-dimensionale) è isomorfo...
Finite-dimensional Left Moufang Algebras.
Finite-dimensional Lie subalgebras of algebras with continuous inversion
We investigate the finite-dimensional Lie groups whose points are separated by the continuous homomorphisms into groups of invertible elements of locally convex algebras with continuous inversion that satisfy an appropriate completeness condition. We find that these are precisely the linear Lie groups, that is, the Lie groups which can be faithfully represented as matrix groups. Our method relies on proving that certain finite-dimensional Lie subalgebras of algebras with continuous inversion commute...
Finiteness conditions in Jordan pairs.
Finitude de l'homologie de certains modules de dimension finie sur une super algèbre de Lie
Le but de cet article est de formuler une hypothèse permettant d’affirmer que l’homologie d’une super algèbre de Lie à valeurs dans un module de dimension finie est de dimension finie
First order calculi with values in right-universal bimodules
The purpose of this note is to show how calculi on unital associative algebra with universal right bimodule generalize previously studied constructions by Pusz and Woronowicz [1989] and by Wess and Zumino [1990] and that in this language results are in a natural context, are easier to describe and handle. As a by-product we obtain intrinsic, coordinate-free and basis-independent generalization of the first order noncommutative differential calculi with partial derivatives.
First-order differential invariants of the splitting subgroups of the Poincaré group .
Fitting decomposition of Casimir operators of quadratic Lie superalgebras.
Fixed Points and D-branes
Fixpunktmengen von halbeinfachen Automorphismen in halbeinfachen Lie-Algebren.
Foliate Partial Holomorphic Structures on Principal Bundles.
Foreword
Formal calculus and umbral calculus.
Formal de Rham theory: irreducible representations of finite simple Lie pseudoalgebras
In this communication, I recall the main results [BDK1] in the classification of finite Lie pseudoalgebras, which generalize several previously known algebraic structures, and announce some new results [BDK2] concerning their representation theory.