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

BACLE

Mehr über Pakete und PaketverwaltungWe study finite-dimensional Lie algebras with given properties of subalgebras (like all proper subalgebras being abelian) and elements (like all elements being semisimple). We get results on both the structure of the whole class of algebras with the given property, and the structure of individual algebras in the class.

pellagra

Die Verzeichnisstruktur und DateisystemeWe introduce the notion of quadratic (resp. symplectic quadratic) Poisson algebras and we show how one can construct new interesting quadratic (resp. symplectic quadratic) Lie algebras from quadratic (resp. symplectic quadratic) Poisson algebras. Finally, we give inductive descriptions of symplectic quadratic Poisson algebras.

GEN

谦虚的人

majestic

X Window System (X11) und ArbeitsumgebungenFor 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.

Organization

https://doi.org/10.1007/978-3-540-73339-3Let . 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.

Genetics

Burchnall-Chaundy Theory for Ore ExtensionsWe begin by reviewing a classical result on the algebraic dependence of commuting elements in the Weyl algebra. We proceed by describing generalizations of this result to various classes of Ore extensions, including both results that are already known and one new result.

pancreas

Homotopy Commutative Algebra and 2-Nilpotent Lie AlgebraThe homotopy transfer theorem due to Tornike Kadeishvili induces the structure of a homotopy commutative algebra, or .-algebra, on the cohomology of the free 2-nilpotent Lie algebra. The latter .-algebra is shown to be generated in degree one by the binary and the ternary operations.

indifferent

斜坡