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

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https://doi.org/10.1007/978-3-540-73339-3e space of a line through the origin and a point, which is a noncommutative but untangled example, and the space of a line through the origin and a point on the line, in which the condition of the point gives an entanglement between the point and the line.

Osteons

2194-1009 groups and semi-groups, non-commutative dynamics, non-commutative geometry and applications in physics and beyond..The book benefits a broad audience of researchers and advanced students..978-3-662-52345-2978-3-642-55361-5Series ISSN 2194-1009 Series E-ISSN 2194-1017

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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 al

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Commutants and Centers in a 6-Parameter Family of Quadratically Linked Quantum Plane Algebrascommutation relations between four generators consisting of five quantum plane relations between pairs of generators and one sub-quadratic relation inter-linking all four generators. For generic parameter vectors, the center and the commutants of the two of the generators are described and condition

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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 t

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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.

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