Semirings whose additive endomorphisms are multiplicative
A ring or an idempotent semiring is associative provided that additive endomorphisms are multiplicative.
Semi-stability of reductive group schemes over curves.
Separable Jordan Pairs Over Commutative Rings.
Separable Moduln von Algebren über Ringen.
Separation of variables in the quantum integrable models related to the Yangian
Serie de Poincaré-Koszul associée aux groupes de tresses pures.
Series of nilpotent orbits.
Serre functors for Lie algebras and superalgebras
We propose a new realization, using Harish-Chandra bimodules, of the Serre functor for the BGG category associated to a semi-simple complex finite dimensional Lie algebra. We further show that our realization carries over to classical Lie superalgebras in many cases. Along the way we prove that category and its parabolic generalizations for classical Lie superalgebras are categories with full projective functors. As an application we prove that in many cases the endomorphism algebra of the basic...
Sets with two associative operations
In this paper we consider duplexes, which are sets with two associative binary operations. Dimonoids in the sense of Loday are examples of duplexes. The set of all permutations carries a structure of a duplex. Our main result asserts that it is a free duplex with an explicitly described set of generators. The proof uses a construction of the free duplex with one generator by planary trees.
Sewn sphere cohomologies for vertex algebras
We define sewn elliptic cohomologies for vertex algebras by sewing procedure for coboundary operators.
S-functions and characters of Lie algebras and Lie groups
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.