Analysis and Quantum Groups

Tuset, Lars

  • 出版商: Springer
  • 出版日期: 2022-07-28
  • 售價: $4,500
  • 貴賓價: 9.5$4,275
  • 語言: 英文
  • 頁數: 544
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 3031072456
  • ISBN-13: 9783031072451
  • 相關分類: 量子 Quantum
  • 海外代購書籍(需單獨結帳)


This volume presents a completely self-contained introduction to the elaborate theory of locally compact quantum groups, bringing the reader to the frontiers of present-day research. The exposition includes a substantial amount of material on functional analysis and operator algebras, subjects which in themselves have become increasingly important with the advent of quantum information theory. In particular, the rather unfamiliar modular theory of weights plays a crucial role in the theory, due to the presence of 'Haar integrals' on locally compact quantum groups, and is thus treated quite extensively

The topics covered are developed independently, and each can serve either as a separate course in its own right or as part of a broader course on locally compact quantum groups. The second part of the book covers crossed products of coactions, their relation to subfactors and other types of natural products such as cocycle bicrossed products, quantum doubles and doublecrossed products. Induced corepresentations, Galois objects and deformations of coactions by cocycles are also treated. Each section is followed by a generous supply of exercises. To complete the book, an appendix is provided on topology, measure theory and complex function theory.





Lars Tuset is Professor of Mathematics at Oslo Metropolitan University. He has worked actively in the area of operator algebras and quantum groups since locally compact quantum groups were introduced in the 90's, and offers firsthand experience of the development of the theory with all its pros and cons. He has previously published a monograph on compact quantum groups and their representation categories.

His research includes amenability of locally compact quantum groups, and cocycle deformations of coactions of locally compact quantum groups in the context of crossed products.


Lars Tuset是奧斯陸都會大學的數學教授。自從90年代引入局部緊致量子群以來,他一直在算子代數和量子群的領域中積極工作,並且具有該理論發展的第一手經驗,包括其優點和缺點。他之前已經出版了一本關於緊致量子群及其表示類別的專著。