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Author : Pavel I. Etingof
Release : 2010
Genre : Mathematical physics
Kind : eBook
Book Rating : 077/5 ( reviews)
Book Synopsis Lectures on Quantum Groups by : Pavel I. Etingof
Download or read book Lectures on Quantum Groups written by Pavel I. Etingof. This book was released on 2010. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ken Brown
Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 05X/5 ( reviews)
Book Synopsis Lectures on Algebraic Quantum Groups by : Ken Brown
Download or read book Lectures on Algebraic Quantum Groups written by Ken Brown. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of an expanded set of lectures on algebraic aspects of quantum groups. It particularly concentrates on quantized coordinate rings of algebraic groups and spaces and on quantized enveloping algebras of semisimple Lie algebras. Large parts of the material are developed in full textbook style, featuring many examples and numerous exercises; other portions are discussed with sketches of proofs, while still other material is quoted without proof.
Author : Jens Carsten Jantzen
Release : 1996
Genre : Mathematics
Kind : eBook
Book Rating : 782/5 ( reviews)
Book Synopsis Lectures on Quantum Groups by : Jens Carsten Jantzen
Download or read book Lectures on Quantum Groups written by Jens Carsten Jantzen. This book was released on 1996. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : L. D. Faddeev
Release : 2009
Genre : Science
Kind : eBook
Book Rating : 99X/5 ( reviews)
Book Synopsis Lectures on Quantum Mechanics for Mathematics Students by : L. D. Faddeev
Download or read book Lectures on Quantum Mechanics for Mathematics Students written by L. D. Faddeev. This book was released on 2009. Available in PDF, EPUB and Kindle. Book excerpt: Describes the relation between classical and quantum mechanics. This book contains a discussion of problems related to group representation theory and to scattering theory. It intends to give a mathematically oriented student the opportunity to grasp the main points of quantum theory in a mathematical framework.
Author : Yuri I. Manin
Release : 2018-10-11
Genre : Mathematics
Kind : eBook
Book Rating : 876/5 ( reviews)
Book Synopsis Quantum Groups and Noncommutative Geometry by : Yuri I. Manin
Download or read book Quantum Groups and Noncommutative Geometry written by Yuri I. Manin. This book was released on 2018-10-11. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents the second edition of Manin's celebrated 1988 Montreal lectures, which influenced a new generation of researchers in algebra to take up the study of Hopf algebras and quantum groups. In this expanded write-up of those lectures, Manin systematically develops an approach to quantum groups as symmetry objects in noncommutative geometry in contrast to the more deformation-oriented approach due to Faddeev, Drinfeld, and others. This new edition contains an extra chapter by Theo Raedschelders and Michel Van den Bergh, surveying recent work that focuses on the representation theory of a number of bi- and Hopf algebras that were first introduced in Manin's lectures, and have since gained a lot of attention. Emphasis is placed on the Tannaka–Krein formalism, which further strengthens Manin's approach to symmetry and moduli-objects in noncommutative geometry.
