Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
An Invitation to Quantum Groups and Duality: From Hopf Algebras to Multiplicative Unitaries and Beyond
 
Thomas Timmermann University of Münster, Mathematisches Institut, Germany
A publication of European Mathematical Society
An Invitation to Quantum Groups and Duality
Hardcover ISBN:  978-3-03719-043-2
Product Code:  EMSTEXT/5
List Price: $78.00
AMS Member Price: $62.40
Please note AMS points can not be used for this product
An Invitation to Quantum Groups and Duality
Click above image for expanded view
An Invitation to Quantum Groups and Duality: From Hopf Algebras to Multiplicative Unitaries and Beyond
Thomas Timmermann University of Münster, Mathematisches Institut, Germany
A publication of European Mathematical Society
Hardcover ISBN:  978-3-03719-043-2
Product Code:  EMSTEXT/5
List Price: $78.00
AMS Member Price: $62.40
Please note AMS points can not be used for this product
  • Book Details
     
     
    EMS Textbooks in Mathematics
    Volume: 52008; 427 pp
    MSC: Primary 16; 46; 22;

    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.

    A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.

    Readership

    Graduate students and research mathematicians interested in quantum groups.

  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 52008; 427 pp
MSC: Primary 16; 46; 22;

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.

A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.

Readership

Graduate students and research mathematicians interested in quantum groups.

Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.