Edomorphisms and Null subalgeras of finite dimensional algebras.
Effacement et déformation
Soit un corps de caractéristique zéro. La variété des algèbres de Lie sur n’est pas réduite en général. Si est une algèbre de Lie dimension finie sur l’application quadratique se factorise à travers le sous-espace des trois-classes de cohomologie effaçables.
Eight-dimensional real absolute-valued algebras with left unit whose automorphism group is trivial.
Eight-dimensional real quadratic division algebras.
Eine Konstruktion von Lie-Algebren aus Jordan-Tripel-Systemen.
Eine Topologie auf der Menge der endlichdimensionalen nichtassoziativen Algebren über einem lokalen Körper.
Eine Verallgemeinerung eines Satzes von Kurata.
Elementary transformations of Dynkin graphs and singularities on quartic surfaces.
Éléments de la géométrie des octaves de Cayley
Elimination of generators in partially commutative structures. (Élimination de générateurs dans les structures partiellement commutatives.)
Elliptic genera and the moonshine module.
Embedding of dendriform algebras into Rota-Baxter algebras
Following a recent work [Bai C., Bellier O., Guo L., Ni X., Splitting of operations, Manin products, and Rota-Baxter operators, Int. Math. Res. Not. IMRN (in press), DOI: 10.1093/imrn/rnr266] we define what is a dendriform dior trialgebra corresponding to an arbitrary variety Var of binary algebras (associative, commutative, Poisson, etc.). We call such algebras di- or tri-Var-dendriform algebras, respectively. We prove in general that the operad governing the variety of di- or tri-Var-dendriform...
Endlichdimensionale graduierte Algebren und ihre Darstellungen
Endomorphisms of free metabelian Lie algebras which preserve orbits.
Entwining Yang-Baxter maps and integrable lattices
Yang-Baxter (YB) map systems (or set-theoretic analogs of entwining YB structures) are presented. They admit zero curvature representations with spectral parameter depended Lax triples L₁, L₂, L₃ derived from symplectic leaves of 2 × 2 binomial matrices equipped with the Sklyanin bracket. A unique factorization condition of the Lax triple implies a 3-dimensional compatibility property of these maps. In case L₁ = L₂ = L₃ this property yields the set-theoretic quantum Yang-Baxter equation, i.e. the...
Enumeration of maximal subalgebras in free restricted Lie algebras.
Envelopes and refinements in categories, with applications to functional analysis [Book]
Enveloping algebras of Malcev algebras
We first discuss the construction by Pérez-Izquierdo and Shestakov of universal nonassociative enveloping algebras of Malcev algebras. We then describe recent results on explicit structure constants for the universal enveloping algebras (both nonassociative and alternative) of the 4-dimensional solvable Malcev algebra and the 5-dimensional nilpotent Malcev algebra. We include a proof (due to Shestakov) that the universal alternative enveloping algebra of the real 7-dimensional simple Malcev algebra...
Enveloping algebras of Slodowy slices and the Joseph ideal
Let be a simple algebraic group over an algebraically closed field of characteristic 0, and . Let be an -triple in with being a long root vector in . Let be the -invariant bilinear form on with and let be such that for all . Let be the Slodowy slice at through the adjoint orbit of and let be the enveloping algebra of ; see [31]. In this article we give an explicit presentation of by generators and relations. As a consequence we deduce that contains an ideal...
Epimorphismen von lokalen Ternärringen