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Titlebook: Noncommutative Spacetimes; Symmetries in Noncom Paolo Aschieri,Marija Dimitrijevic,Julius Wess Book 2009 Springer-Verlag Berlin Heidelberg

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Noncommutative Spacetimes978-3-540-89793-4Series ISSN 0075-8450 Series E-ISSN 1616-6361
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Lecture Notes in Physicshttp://image.papertrans.cn/n/image/667203.jpg
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Differential Calculus and Gauge Transformations on a Deformed Spaceus to work in a deformed Lie algebra as well. This deformation rests on a twisted Hopf algebra, thus we can represent a twisted Hopf algebra on deformed spaces. That leads to the construction of Lagrangian invariant under a twisted Lie algebra.
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The Noncommutative Geometry of Julius Wessch field. We would like to describe briefly his interests, motivations, and main contributions, which could be divided into four periods. Therefore, we shall trace a short account of his last 18 years of scientific activity and hence of an approach to the subject that has become a reference point for the scientific community.
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Noncommutative Spaceswo noncommuting variables with a constant commutator. This is the space of the noncommutative field theories described in this book, as well as the elementary phase space of quantum mechanics. The Weyl map from operators to functions is introduced in order to produce a .-product description of this
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