Shapiro's lemma and its consequences in the cohomology theory of modular Lie algebras.
Sharply Transitive Linear Groups and Nearfields over p-adic Fields.
Shoikhet's conjecture and Duflo isomorphism on (co)invariants.
Shuffle bialgebras
The goal of our work is to study the spaces of primitive elements of some combinatorial Hopf algebras, whose underlying vector spaces admit linear basis labelled by subsets of the set of maps between finite sets. In order to deal with these objects we introduce the notion of shuffle algebras, which are coloured algebras where composition is not always defined. We define bialgebras in this framework and compute the subpaces of primitive elements associated to them. These spaces of primitive elements...
Simple facts about analytic vectors and integrability
Simple finite Jordan pseudoalgebras.
Simple left-symmetric algebras with solvable Lie algebra.
Simple multilinear algebras and hermitian operators
The paper studies multilinear algebras, known as comtrans algebras, that are determined by so-called -Hermitian matrices over an arbitrary field. The main result of this paper shows that the comtrans algebra of -dimensional -Hermitian matrices furnishes a simple comtrans algebra.
Simple special Jordan superalgebras with associative even part.
Simple special Jordan superalgebras with associative nil-semisimple even part
Simplicial and crossed Lie algebras.
Singular Blocks of the Category O.
Singular complete integrability
Singular Holomorphic Representations and Singular Modular Forms.
Singular localization of -modules and applications to representation theory
We prove a singular version of Beilinson–Bernstein localization for a complex semi-simple Lie algebra following ideas from the positive characteristic case settled by [BMR06]. We apply this theory to translation functors, singular blocks in the Bernstein–Gelfand–Gelfand category O and Whittaker modules.
Singular operations on algebras (generalized contractions)
Singular Poisson-Kähler geometry of certain adjoint quotients
The Kähler quotient of a complex reductive Lie group relative to the conjugation action carries a complex algebraic stratified Kähler structure which reflects the geometry of the group. For the group SL(n,ℂ), we interpret the resulting singular Poisson-Kähler geometry of the quotient in terms of complex discriminant varieties and variants thereof.
Singular vectors corresponding to imaginary roots in verma modules over affine Lie algebras.
Singularités quotients non abéliennes de dimension 3 et variétés de Calabi-Yau.
Skein quantization of Poisson algebras of loops on surfaces