CRM Short Courses

Quantum Groups and Noncommutative Geometry

Authors: Manin, Yuri I.

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  • Additional chapter by Raedschelders and Van den Bergh surveys recent work that focuses on the representation theory of a number of bi- and Hopf algebras
  • New edition of Manin's celebrated 1988 Montreal lectures
  • Systematically develops an approach to quantum groups as symmetry objects in noncommutative geometry
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eBook 44,02 €
price for Spain (gross)
  • ISBN 978-3-319-97987-8
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Hardcover 57,19 €
price for Spain (gross)
  • ISBN 978-3-319-97986-1
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  • Usually dispatched within 3 to 5 business days.
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About this Textbook

This textbook presents the second edition of Manin's celebrated 1988 Montreal lectures, which influenced a new generation of researchers in algebra to take up the study of Hopf algebras and quantum groups. In this expanded write-up of those lectures, Manin systematically develops an approach to quantum groups as symmetry objects in noncommutative geometry in contrast to the more deformation-oriented approach due to Faddeev, Drinfeld, and others.  This new edition contains an extra chapter by Theo Raedschelders and Michel Van den Bergh, surveying recent work that focuses on the representation theory of a number of bi- and Hopf algebras that were first introduced in Manin's lectures, and have since gained a lot of attention. Emphasis is placed on the Tannaka–Krein formalism, which further strengthens Manin's approach to symmetry and moduli-objects in noncommutative geometry.

About the authors

​Yuri I. Manin is a Professor at the Max Planck Institute for Mathematics in Bonn. Personal distinctions include: Principal Researcher, Steklov Mathematical Institute, 1960-1993; since 1993 Principal Researcher in absentia. Professor (Algebra Chair), University of Moscow 1965-1992. Professor, M.I.T. 1992-1993. Scientific Member, MPI for Mathematics since 1993. Director, MPI for Mathematics 1995-2005, now Professor Emeritus. Board of Trustees Professor, Northwestern University (Evanston, USA) 2002-2011, now Professor Emeritus. Lenin Prize 1967. Brouwer Medal 1987. Frederic Esser Nemmers Prize 1994. Rolf Schock Prize in Mathematics 1999. King Faisal International Prize in Mathematics 2002. Georg Cantor Medal 2002. Order pour le Mérite for Science and Art, Germany, 2007. Great Cross of Merit with Star, Germany, 2008. János Bolyai International Mathematical Prize, Hungarian Academy of Sciences, 2010. Member of nine Academies of Sciences. Honorary degrees at Sorbonne, Oslo, Warwick. Honorary Member of the London Math. Society.

Table of contents (16 chapters)

Table of contents (16 chapters)

Buy this book

eBook 44,02 €
price for Spain (gross)
  • ISBN 978-3-319-97987-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 57,19 €
price for Spain (gross)
  • ISBN 978-3-319-97986-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Quantum Groups and Noncommutative Geometry
Authors
Series Title
CRM Short Courses
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-319-97987-8
DOI
10.1007/978-3-319-97987-8
Hardcover ISBN
978-3-319-97986-1
Series ISSN
2522-5200
Edition Number
2
Number of Pages
VIII, 125
Number of Illustrations
82 b/w illustrations, 1 illustrations in colour
Additional Information
Originally published by Centre de Recherches Mathématiques, Montreal, 1988
Topics