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
Asymptotic products and enlargibility of Banach-Lie algebras.
Asymptotics of Matrix Coefficients, Perverse Sheaves and Jacquet Modules.
Automorphic forms on Os + 2,2(R) and infinte products.
Automorphismes de certains completés du corps de Weyl quantique.
Automorphisms and quasi-conformal mappings of Heisenberg-type groups.
Automorphisms of free nilpotent associative algebras.
Automorphisms of . (Automorphismes de .)
Banach manifolds of algebraic elements in the algebra (H) of bounded linear operatorsof bounded linear operators
Given a complex Hilbert space H, we study the manifold of algebraic elements in . We represent as a disjoint union of closed connected subsets M of Z each of which is an orbit under the action of G, the group of all C*-algebra automorphisms of Z. Those orbits M consisting of hermitian algebraic elements with a fixed finite rank r, (0< r<∞) are real-analytic direct submanifolds of Z. Using the C*-algebra structure of Z, a Banach-manifold structure and a G-invariant torsionfree affine...
Banach-Lie algebras of compact operators
Bascules associatives
Bases canoniques et applications
Bases des algèbres de Lie et série de Hausdorff
Bases des représentations des groupes simples complexes