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

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Deformations of Diagramss is a pair . where . is a set of .-modules, and . is a set of .-module homomorphisms ., seen as the .’th order tangent directions. We define the deformation theory for diagrams, making these the fundamental points in noncommutative algebraic geometry. Two simple examples of the theory are given: Th
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Algebra, Geometry and Mathematical Physics978-3-642-55361-5Series ISSN 2194-1009 Series E-ISSN 2194-1017
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Auf dem Weg in ein neues Mittelalter? 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.
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Durchführung der Basisinstallation 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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Abdenacer Makhlouf,Eugen Paal,Alexander StolinIncludes supplementary material:
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