Titlebook: Algebra, Geometry and Mathematical Physics; AGMP, Mulhouse, Fran Abdenacer Makhlouf,Eugen Paal,Alexander Stolin Conference proceedings 2014

Awning

Structure and Cohomology of 3-Lie Algebras Induced by Lie AlgebrasThe aim of this paper is to compare the structure and the cohomology spaces of Lie algebras and induced .-Lie algebras.

有恶意

A Review of Peirce Decomposition for Unitary ,-Freudenthal Kantor Triple SystemsIn this paper we discuss a Peirce decomposition for unitary .-Freudenthal Kantor triple systems.

形上升才刺激

Noncommutative Algebraic VarietiesFor a natural number ., we define the free . matrix polynomial algebras and their quotients. We define algebraic sets and tangent spaces between different points. We then study their naive geometry by deformation theory, and prove that this defines noncommutative varieties in a natural way.

使饥饿

Computing Noncommutative DeformationsLet . be a right module over an associative .-algebra ., where . is a field. We show how to compute noncommutative deformations of . in concrete terms, using an obstruction calculus based on free resolutions.

liposuction

Quantized Reduced Fusion Elements and Kostant’s Problem The solution is obtained by means of its reduction to an extension of the quantization problem. While the classical quantization problem consists in finding .-product deformations of the commutative algebras of functions, we consider the .-case when the initial object is already a noncommutative algebra.

兽皮

Subalgebra Depths Within the Path Algebra of an Acyclic Quiveronnected, acyclic quiver algebra . over an algebraically closed field . is then computed. Also the depth of the primary arrow subalgebra . in . is obtained. The two types of subalgebras have depths . and . respectively, independent of the number of vertices. An upper bound on depth is obtained for the quotient of a subalgebra pair.

forecast

Constructions of Quadratic ,-ary Hom-Nambu Algebras with an invariant, nondegenerate and symmetric bilinear forms that are also .-symmetric and .-invariant where . and . are twisting maps. We provide various constructions of quadratic .-ary Hom-Nambu algebras. Also is discussed their connections with representation theory and centroids.

overbearing

A Comparison of Leibniz and Lie Cohomology and Deformationsmore Leibniz deformations just the Lie ones. These conditions are easy to verify. As an example, we describe the universal infinitesimal versal Leibniz deformation of the 4-dimensional diamond algebra.

outskirts

Prelude,noch eine Reihe von anderen Ursachen, die zu einer Coxa vara führen können, ein mit Deformierung ausgeheilter Entzündungsprozeß an Schenkelkopf und Schenkelhals, ein mangelhaft geheilter Schenkelhalsbruch, Verletzungen, die das Hüftgelenk treffen, mit Absprengungen u. a. mehr. Die Coxa vara führt im

cumulative