A Quantum Groups Primer - 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 A Quantum Groups Primer write by Shahn Majid. This book was released on 2002-04-04. A Quantum Groups Primer available in PDF, EPUB and Kindle. Self-contained introduction to quantum groups as algebraic objects, suitable as a textbook for graduate courses.
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 George Lusztig. This book was released on 2010-10-27. Introduction to Quantum Groups available in PDF, EPUB and Kindle. The quantum groups discussed in this book are the quantized enveloping algebras introduced by Drinfeld and Jimbo in 1985, or variations thereof. The theory of quantum groups has led to a new, extremely rigid structure, in which the objects of the theory are provided with canonical basis with rather remarkable properties. This book will be of interest to mathematicians working in the representation theory of Lie groups and Lie algebras, knot theorists and to theoretical physicists and graduate students. Since large parts of the book are independent of the theory of perverse sheaves, the book could also be used as a text book.
Lectures on Quantum Groups
Lectures on 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 Lectures on Quantum Groups write by Jens Carsten Jantzen. This book was released on 1996. Lectures on Quantum Groups available in PDF, EPUB and Kindle. The material is very well motivated ... Of the various monographs available on quantum groups, this one ... seems the most suitable for most mathematicians new to the subject ... will also be appreciated by a lot of those with considerably more experience. --Bulletin of the London Mathematical Society Since its origin, the theory of quantum groups has become one of the most fascinating topics of modern mathematics, with numerous applications to several sometimes rather disparate areas, including low-dimensional topology and mathematical physics. This book is one of the first expositions that is specifically directed to students who have no previous knowledge of the subject. The only prerequisite, in addition to standard linear algebra, is some acquaintance with the classical theory of complex semisimple Lie algebras. Starting with the quantum analog of $\mathfrak{sl}_2$, the author carefully leads the reader through all the details necessary for full understanding of the subject, particularly emphasizing similarities and differences with the classical theory. The final chapters of the book describe the Kashiwara-Lusztig theory of so-called crystal (or canonical) bases in representations of complex semisimple Lie algebras. The choice of the topics and the style of exposition make Jantzen's book an excellent textbook for a one-semester course on quantum groups.
Foundations of Quantum Group Theory
Foundations of Quantum Group 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 Foundations of Quantum Group Theory write by Shahn Majid. This book was released on 2000. Foundations of Quantum Group Theory available in PDF, EPUB and Kindle. A graduate level text which systematically lays out the foundations of Quantum Groups.
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.
