Compact Matrix Quantum Groups and Their Combinatorics - 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 Compact Matrix Quantum Groups and Their Combinatorics write by Amaury Freslon. This book was released on 2023-07-27. Compact Matrix Quantum Groups and Their Combinatorics available in PDF, EPUB and Kindle.
Compact Quantum Groups and Their Representation Categories
Compact Quantum Groups and Their Representation Categories - 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 Compact Quantum Groups and Their Representation Categories write by Sergey Neshveyev. This book was released on 2013. Compact Quantum Groups and Their Representation Categories available in PDF, EPUB and Kindle. The book provides an introduction to the theory of compact quantum groups, emphasizing the role of the categorical point of view in constructing and analyzing concrete examples. The general theory is developed in the first two chapters and is illustrated with a detailed analysis of free orthogonal quantum groups and the Drinfeld-Jimbo $q$-deformations of compact semisimple Lie groups. The next two chapters are more specialized and concentrate on the Drinfeld-Kohno theorem, presented from the operator algebraic point of view. This book should be accessible to students with a basic knowledge of operator algebras and semisimple Lie groups.
An Invitation to Quantum Groups and Duality
An Invitation to Quantum Groups and Duality - 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 An Invitation to Quantum Groups and Duality write by Thomas Timmermann. This book was released on 2008. An Invitation to Quantum Groups and Duality available in PDF, EPUB and Kindle. This book provides an introduction to the theory of quantum groups with emphasis on their duality and on the setting of operator algebras. Part I of the text presents the basic theory of Hopf algebras, Van Daele's duality theory of algebraic quantum groups, and Woronowicz's compact quantum groups, staying in a purely algebraic setting. Part II focuses on quantum groups in the setting of operator algebras. Woronowicz's compact quantum groups are treated in the setting of $C^*$-algebras, and the fundamental multiplicative unitaries of Baaj and Skandalis are studied in detail. An outline of Kustermans' and Vaes' comprehensive theory of locally compact quantum groups completes this part. Part III leads to selected topics, such as coactions, Baaj-Skandalis-duality, and approaches to quantum groupoids in the setting of operator algebras. The book is addressed to graduate students and non-experts from other fields. Only basic knowledge of (multi-) linear algebra is required for the first part, while the second and third part assume some familiarity with Hilbert spaces, $C^*$-algebras, and von Neumann algebras.
General Compact Quantum Groups
General Compact 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 General Compact Quantum Groups write by Tom Hendrik Koornwinder. This book was released on 1994. General Compact Quantum Groups available in PDF, EPUB and Kindle. Abstract: "A tutorial introduction is given to general Hopf algebras and to general compact quantum groups. In the definition and further treatment of compact quantum groups C*-algebras are avoided. Contact with Woronowicz's compact matrix quantum groups is made at a later stage."
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.
