Analogues of Kostant's ...-cohomology formulas for unitary highest weight modules.
Analogues of Weyl's formula for reduced enveloping algebras.
Analytic joint spectral radius in a solvable Lie algebra of operators
We introduce the concept of analytic spectral radius for a family of operators indexed by some finite measure space. This spectral radius is compared with the algebraic and geometric spectral radii when the operators belong to some finite-dimensional solvable Lie algebra. We describe several situations when the three spectral radii coincide. These results extend well known facts concerning commuting n-tuples of operators.
Analyticité et itères d'un système de champs non elliptique
Annihilators and associated varieties of unitary highest weight modules
Annihilators of Verma modules for Kac-Moody algebras.
Anyonic Groups
Application of the Gel'fand matrix method to the missing label problem in classical kinematical Lie algebras.
Applications of the characteristic identity for GL(N)
Approximation in Lie transformation groups by superposition of one-parameter subgroups. (Approximation in Lieschen Transformationsgruppen durch Überlagerung von einparametrigen Untergruppen.)
Arc operads and arc algebras.
ARI/GARI, la dimorphie et l'arithmétique des multizêtas : un premier bilan
Nous tentons, dans ce survol, de présenter une structure méconnue : l'algèbre de Lie ARI et son groupe GARI. Puis nous montrons quels progrès elle a déjà permis de réaliser dans l'étude arithmético-algébrique des valeurs zêta multiples et aussi quelles possibilités elle ouvre pour l'exploration du phénomène plus général de /emph{dimorphie numérique}.
Arithmetic features of rational conformal field theory
Arrangements of hyperplanes and Lie algebra homology.
Associative and Lie algebras of quotients.
Associative and Lie deformations of Poisson algebras
Considering a Poisson algebra as a nonassociative algebra satisfying the Markl-Remm identity, we study deformations of Poisson algebras as deformations of this nonassociative algebra. We give a natural interpretation of deformations which preserve the underlying associative structure and of deformations which preserve the underlying Lie algebra and we compare the associated cohomologies with the Poisson cohomology parametrizing the general deformations of Poisson algebras.
Associative and Lie subalgebras of finite codimension
Asymmetric twin representation: the transfer matrix symmetry.
Asymptotic Behaviour of Colength of Varieties of Lie Algebras
This project was partially supported by RFBR, grants 99-01-00233, 98-01-01020 and 00-15-96128.We study the asymptotic behaviour of numerical characteristics of polynomial identities of Lie algebras over a field of characteristic 0. In particular we investigate the colength for the cocharacters of polynilpotent varieties of Lie algebras. We prove that there exist polynilpotent Lie varieties with exponential and overexponential colength growth. We give the exact asymptotics for the colength of a product...
Asymptotic Expansions of Witten-Reshetikhin-Turaev Invariants for Some Simple -Manifolds