Quantum groups and noncommutative geometry /

Quantum groups and noncommutative geometry /

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Bibliographic Details
Author / Creator:	Manin, I︠U︡. I., author.
Edition:	Second edition.
Imprint:	Cham, Switzerland : Springer, 2018.
Description:	1 online resource (vii, 125 pages) : illustrations.
Language:	English
Series:	CRM short courses, 2522-5200 CRM short courses,
Subject:	Quantum groups. Geometry, Algebraic. Noncommutative differential geometry. Geometry, Algebraic. Noncommutative differential geometry. Quantum groups. Electronic books.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11718394

Hidden Bibliographic Details
ISBN:	9783319979878 3319979876 9783319979861 3319979868
Digital file characteristics:	text file PDF
Notes:	Includes bibliographical references and index. Online resource; title from PDF title page (SpringerLink, viewed October 22, 2018).
Summary:	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.--
Other form:	Print version: Manin, I︠U︡. I. Quantum groups and noncommutative geometry. Second edition. Cham, Switzerland : Springer, 2018 3319979868 9783319979861
Standard no.:	10.1007/978-3-319-97987-8

Description
Summary:	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.
Physical Description:	1 online resource (vii, 125 pages) : illustrations.
Bibliography:	Includes bibliographical references and index.
ISBN:	9783319979878 3319979876 9783319979861 3319979868
ISSN:	2522-5200