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Noncommutative Spacetimes - Symmetries in Noncommutative Geometry and Field Theory (Hardcover, 2009 ed.)
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Noncommutative Spacetimes - Symmetries in Noncommutative Geometry and Field Theory (Hardcover, 2009 ed.)
Series: Lecture Notes in Physics, 774
Expected to ship within 10 - 15 working days
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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 on the other
handaschaptersforthepresentbook.Thesearenowharmonizedandcomplemented
by a couple of contributions that have been written to provide a
wider background, to widen the scope, and to underline the power of
our methods.
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