Quantum Groups, Quantum Categories and Quantum Field Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Quantum Groups, Quantum Categories and Quantum Field Theory write by Jürg Fröhlich. This book was released on 2006-11-15. Quantum Groups, Quantum Categories and Quantum Field Theory available in PDF, EPUB and Kindle. This book reviews recent results on low-dimensional quantum field theories and their connection with quantum group theory and the theory of braided, balanced tensor categories. It presents detailed, mathematically precise introductions to these subjects and then continues with new results. Among the main results are a detailed analysis of the representation theory of U (sl ), for q a primitive root of unity, and a semi-simple quotient thereof, a classfication of braided tensor categories generated by an object of q-dimension less than two, and an application of these results to the theory of sectors in algebraic quantum field theory. This clarifies the notion of "quantized symmetries" in quantum fieldtheory. The reader is expected to be familiar with basic notions and resultsin algebra. The book is intended for research mathematicians, mathematical physicists and graduate students.
Quantum Groups, Quantum Categories and Quantum Field Theory
Quantum Groups, Quantum Categories and Quantum Field Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Quantum Groups, Quantum Categories and Quantum Field Theory write by Jurg Frohlich. This book was released on 2014-09-01. Quantum Groups, Quantum Categories and Quantum Field Theory available in PDF, EPUB and Kindle.
Quantum Groups, Quantum Categories and Quantum Field Theory
Quantum Groups, Quantum Categories and Quantum Field Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Quantum Groups, Quantum Categories and Quantum Field Theory write by Thomas Kerler. This book was released on 1992. Quantum Groups, Quantum Categories and Quantum Field Theory available in PDF, EPUB and Kindle.
Quantum Groups
Quantum Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Quantum Groups write by Christian Kassel. This book was released on 2012-12-06. Quantum Groups available in PDF, EPUB and Kindle. Here is an introduction to the theory of quantum groups with emphasis on the spectacular connections with knot theory and Drinfeld's recent fundamental contributions. It presents the quantum groups attached to SL2 as well as the basic concepts of the theory of Hopf algebras. Coverage also focuses on Hopf algebras that produce solutions of the Yang-Baxter equation and provides an account of Drinfeld's elegant treatment of the monodromy of the Knizhnik-Zamolodchikov equations.
Introduction to Quantum Groups
Introduction to Quantum Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Quantum Groups write by Masud Chaichian. This book was released on 1996. Introduction to Quantum Groups available in PDF, EPUB and Kindle. In the past decade there has been an extemely rapid growth in the interest and development of quantum group theory.This book provides students and researchers with a practical introduction to the principal ideas of quantum groups theory and its applications to quantum mechanical and modern field theory problems. It begins with a review of, and introduction to, the mathematical aspects of quantum deformation of classical groups, Lie algebras and related objects (algebras of functions on spaces, differential and integral calculi). In the subsequent chapters the richness of mathematical structure and power of the quantum deformation methods and non-commutative geometry is illustrated on the different examples starting from the simplest quantum mechanical system — harmonic oscillator and ending with actual problems of modern field theory, such as the attempts to construct lattice-like regularization consistent with space-time Poincaré symmetry and to incorporate Higgs fields in the general geometrical frame of gauge theories. Graduate students and researchers studying the problems of quantum field theory, particle physics and mathematical aspects of quantum symmetries will find the book of interest.
