Complex Semisimple Quantum Groups and Representation 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 Complex Semisimple Quantum Groups and Representation Theory write by Christian Voigt. This book was released on 2020-09-24. Complex Semisimple Quantum Groups and Representation Theory available in PDF, EPUB and Kindle. This book provides a thorough introduction to the theory of complex semisimple quantum groups, that is, Drinfeld doubles of q-deformations of compact semisimple Lie groups. The presentation is comprehensive, beginning with background information on Hopf algebras, and ending with the classification of admissible representations of the q-deformation of a complex semisimple Lie group. The main components are: - a thorough introduction to quantized universal enveloping algebras over general base fields and generic deformation parameters, including finite dimensional representation theory, the Poincaré-Birkhoff-Witt Theorem, the locally finite part, and the Harish-Chandra homomorphism, - the analytic theory of quantized complex semisimple Lie groups in terms of quantized algebras of functions and their duals, - algebraic representation theory in terms of category O, and - analytic representation theory of quantized complex semisimple groups. Given its scope, the book will be a valuable resource for both graduate students and researchers in the area of quantum groups.
Algebras of Functions on Quantum Groups: Part I
Algebras of Functions on Quantum Groups: Part I - 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 Algebras of Functions on Quantum Groups: Part I write by Leonid I. Korogodski. This book was released on 1998. Algebras of Functions on Quantum Groups: Part I available in PDF, EPUB and Kindle. The text is devoted to the study of algebras of functions on quantum groups. The book includes the theory of Poisson-Lie algebras (quasi-classical version of algebras of functions on quantum groups), a description of representations of algebras of functions and the theory of quantum Weyl groups. It can serve as a text for an introduction to the theory of quantum groups and is intended for graduate students and research mathematicians working in algebra, representation theory and mathematical physics.
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.
Representation Theory of Algebraic Groups and Quantum Groups
Representation Theory of Algebraic Groups and 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 Representation Theory of Algebraic Groups and Quantum Groups write by Toshiaki Shoji. This book was released on 2004. Representation Theory of Algebraic Groups and Quantum Groups available in PDF, EPUB and Kindle. A collection of research and survey papers written by speakers at the Mathematical Society of Japan's 10th International Conference. This title presents an overview of developments in representation theory of algebraic groups and quantum groups. It includes papers containing results concerning Lusztig's conjecture on cells in affine Weyl groups.
Quantum Groups and Their Representations
Quantum Groups and Their Representations - 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 and Their Representations write by Anatoli Klimyk. This book was released on 2012-12-06. Quantum Groups and Their Representations available in PDF, EPUB and Kindle. This book start with an introduction to quantum groups for the beginner and continues as a textbook for graduate students in physics and in mathematics. It can also be used as a reference by more advanced readers. The authors cover a large but well-chosen variety of subjects from the theory of quantum groups (quantized universal enveloping algebras, quantized algebras of functions) and q-deformed algebras (q-oscillator algebras), their representations and corepresentations, and noncommutative differential calculus. The book is written with potential applications in physics and mathematics in mind. The basic quantum groups and quantum algebras and their representations are given in detail and accompanied by explicit formulas. A number of topics and results from the more advanced general theory are developed and discussed.
