Research Catalog

An invitation to quantum groups and duality : from Hopf algebras to multiplicative unitaries and beyond / Thomas Timmermann.

Title
An invitation to quantum groups and duality : from Hopf algebras to multiplicative unitaries and beyond / Thomas Timmermann.
Author
Timmermann, Thomas.
Publication
Zürich, Switzerland : European Mathematical Society, c2008

Holdings

Details

Description
xx, 407 p. : ill.; 24 cm.
Summary
"This book provides an introduction to the theory of quantum groups with emphasis on their duality and on 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[superscript *]-algebras, and von Neumann algebras."--Jacket.
Series Statement
EMS textbooks in mathematics
Uniform Title
EMS textbooks in mathematics.
Subject
  • Duality theory (Mathematics)
  • Hopf algebras
  • Operator algebras
  • Quantum groups
Bibliography (note)
  • Includes bibliographical references (p. [385]-396) and index.
Processing Action (note)
  • committed to retain
Contents
From groups to quantum groups -- Hopf algebras -- Multiplier Hopf algebras and their duality -- Algebraic compact quantum groups -- Quantum groups and C*-/von Neumann bialgebras -- First definitions and examples -- C*-algebraic compact quantum groups -- Examples of compact quantum groups -- Multiplicative unitaries -- Locally compact quantum groups -- Coactions on C*-algebras, reduced crossed products, and duality -- Pseudo-multiplicative unitaries on Hilbert spaces -- Pseudo-multiplicative unitaries on C*-modules.
ISBN
  • 9783037190432
  • 3037190434
LCCN
^^2008426888