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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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發(fā)表于 2025-3-21 19:57:28 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Noncommutative Spacetimes
副標題Symmetries in Noncom
編輯Paolo Aschieri,Marija Dimitrijevic,Julius Wess
視頻videohttp://file.papertrans.cn/668/667203/667203.mp4
概述Includes supplementary material:
叢書名稱Lecture Notes in Physics
圖書封面Titlebook: Noncommutative Spacetimes; Symmetries in Noncom Paolo Aschieri,Marija Dimitrijevic,Julius Wess Book 2009 Springer-Verlag Berlin Heidelberg
描述There are many approaches to noncommutative geometry and its use in physics, the ? operator algebra and C -algebra one, the deformation quantization one, the qu- tum group one, and the matrix algebra/fuzzy geometry one. This volume introduces and develops the subject by presenting in particular the ideas and methods recently pursued by Julius Wess and his group. These methods combine the deformation quantization approach based on the - tion of star product and the deformed (quantum) symmetries methods based on the theory of quantum groups. The merging of these two techniques has proven very fruitful in order to formulate ?eld theories on noncommutative spaces. The aim of the book is to give an introduction to these topics and to prepare the reader to enter the research ?eld himself/herself. This has developed from the constant interest of Prof. W. Beiglboeck, editor of LNP, in this project, and from the authors experience in conferences and schools on the subject, especially from their interaction with students and young researchers. In fact quite a few chapters in the book were written with a double purpose, on the one hand as contributions for school or conference proceedings and
出版日期Book 2009
關(guān)鍵詞Gauge theory; Gravity; Julius Wess; deformed gauge theories; noncommuative spacetime; quantum groups
版次1
doihttps://doi.org/10.1007/978-3-540-89793-4
isbn_softcover978-3-642-24249-6
isbn_ebook978-3-540-89793-4Series ISSN 0075-8450 Series E-ISSN 1616-6361
issn_series 0075-8450
copyrightSpringer-Verlag Berlin Heidelberg 2009
The information of publication is updating

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書目名稱Noncommutative Spacetimes影響因子(影響力)學(xué)科排名




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書目名稱Noncommutative Spacetimes網(wǎng)絡(luò)公開度學(xué)科排名




書目名稱Noncommutative Spacetimes被引頻次




書目名稱Noncommutative Spacetimes被引頻次學(xué)科排名




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Deformed Gauge Theoriesal gauge theories, but several changes are forced upon us. The Leibniz rule has to be changed such that the theory is now based on a twisted Hopf algebra. Nevertheless, this twisted symmetry structure leads to conservation laws. The symmetry has to be extended from Lie algebra valued to enveloping a
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Deformed Gauge Theory: Twist Versus Seiberg–Witten Approachormations is unchanged, but the Leibniz rule is changed (compared with gauge theories on commutative space). Consistency of the equations of motion requires enveloping algebravalued gauge fields, which leads to new degrees of freedom. In the second approach we have to go to the enveloping algebra ag
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Noncommutative Spacesefore complement the previous chapters where noncommutative spaces have been described by the commutation relations of their coordinates. The full algebraic description of ordinary (commutative) spaces requires the completion of the algebra of coordinates into a .-algebra, this encodes the Hausdorff
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發(fā)表于 2025-3-22 17:07:39 | 只看該作者
Noncommutative Symmetries and Gravityacetime diffeomorphisms are twisted into noncommutative diffeomorphisms. Their deformed Lie algebra structure and that of infinitesimal Poincaré transformations is defined and explicitly constructed. We can then define covariant derivatives (that implement the principle of general covariance on nonc
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