Last edited by Shaktilrajas
Tuesday, August 4, 2020 | History

6 edition of An invitation to quantum groups and duality found in the catalog.

An invitation to quantum groups and duality

from Hopf algebras to multiplicative unitaries and beyond

by Thomas Timmermann

  • 377 Want to read
  • 25 Currently reading

Published by European Mathematical Society in Zürich, Switzerland .
Written in English

    Subjects:
  • Quantum groups,
  • Hopf algebras,
  • Duality theory (Mathematics),
  • Operator algebras

  • Edition Notes

    Includes bibliographical references (p. [385]-396) and index.

    StatementThomas Timmermann.
    SeriesEMS textbooks in mathematics
    Classifications
    LC ClassificationsQC174.17.G7 T53 2008, QA326 .T56 2008
    The Physical Object
    Paginationxx, 407 p. :
    Number of Pages407
    ID Numbers
    Open LibraryOL22532821M
    ISBN 103037190434
    ISBN 109783037190432
    LC Control Number2008426888

      [28] Timmermann, T., Invitation to quantum groups a nd duality: from Hopf algebras to multiplicative unitaries and beyond, EMS Bo oks in . It's a more recent book, but I've read An introduction to quantum group and duality from Thomas Timmermann. I love how this book is written, although a lot of the proofs are missing. It's more of a year, year-and-a-half course.

    Thomas Timmermann, An Invitation to Quantum Groups and Duality Marek Jarnicki and Peter Pflug, First Steps in Several Complex Variables: Reinhardt Domains Oleg Bogopolski, chapter on homotopy groups, which is essential to this book, should also be studied. vi Preface. Quantum Theory, Groups and Representations: An Introduction Peter Woit Department of Mathematics, Columbia University [email protected]

    Introduction to Quantum Groups will be of interest to mathematicians working in the representation theory of Lie groups and Lie algebras, knot theorists, theoretical physicists, and graduate students. Since large parts of the book are independent of the theory of perverse sheaves, the work may also be used as a textbook. The quantum duality principle relates the quantum groups that arise on the quantization of Poisson-Lie dual groups and generalizes Fourier duality. Also considered are the theory of the Heisenberg double, which replaces the cotangent bundle for quantum groups, and its deformations (the twisted double).


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An invitation to quantum groups and duality by Thomas Timmermann Download PDF EPUB FB2

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 by: This book is devoted to a description of this theory.

It has three parts. The first part treats quantum groups (and their duality) in a purely algebraic setting. It contains a description of the Van Daele duality of algebraic quantum groups (giving a model for further generalizations) and a discussion of the Woronowicz compact quantum groups.

An Invitation to Quantum Groups and Duality: From Hopf Algebras to Multiplicative Unitaries and Beyond. Thomas Timmermann. which are provided on p of Timmermann's book. The notion of duality, which is central to the rest of the text, is first introduced in Chapter 1, and then developed further in Chapter 2.

Get this from a library. An invitation to quantum groups and duality: from Hopf algebras to multiplicative unitaries and beyond. [Thomas Timmermann] -- "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. An Invitation to Quantum Groups and Duality: From Hopf Algebras to Multiplicative Unitaries and Beyond Share this page Thomas Timmermann.

A publication of the European Mathematical Society. This book provides an introduction to the theory of quantum groups with emphasis on their duality and on the setting of operator algebras. The quantum groups discussed in this book are the quantized enveloping algebras introduced by Drinfeld and Jimbo inor variations thereof.

The theory of quantum groups has led to a new, extremely rigid structure, in which the objects of the theory are provided with canonical basis with rather remarkable properties. DMCA [3] T. Timmermann, An Invitation to Quantum Groups and Duality: From Hopf Algebras to Multiplicative Unitaries and Beyond, ISBN This book focuses on quantum groups, i.e., continuous deformations of Lie groups, and their applications in physics.

These algebraic structures have been studied in the last decade by a growing number of mathematicians and physicists, and are found to underlie many physical systems of interest. An Invitation to Quantum Groups and Duality. Drinfeld, V.G. Quantum Groups; International Congress of Mathematicians: Berkeley, CA, USA, [Google Scholar] Timmermann, T.

An Invitation to Quantum Groups and Duality-From Hopf Aalgebras to Multiplicative Unitaries and Beyond; European Mathematical Society Publishing. Section Quantum groups. Classical Tannaka duality. Before describing Tannaka duality, we briefly recall Pontrjagin duality.

Let G be a commutative locally-compact group. A character c of G is a continuous homomorphism c: G aaA T where T is the multiplicative group of complex numbers of modulus 1.

The characters. quantum groups and to explain the central analytic tools used therein but without providing any proofs.

The last part of the book is devoted to morespecial topics as coactions of quantum groups on C∗-algebras, reduced cross products, Kac systems culminating in Baaj-Skandalis duality which is a generalization of Takesaki-Takai duality for.

Timmermann, An invitation to quantum groups and duality. (European Mathematical Soci-ety (EMS), Zuric h, ). MR [This is a readable introduction to Hopf algebras which specialises to compact quantum groups from the algebraic perspective.

Then the theory is re-introduced from the C -algebra perspective. Drinfeld's original ICM talk "Quantum groups" is something "must read", scanned files are available here. This old introduction works out many details and is quite good: "An introduction to quantized Lie groups and algebras" arXiv:hep-th/ There is certain interplay between certain topics in classical simple Lie algebras and quantum groups, in particular the.

Set partitions closed under certain operations form a tensor category. They give rise to certain subgroups of the free orthogonal quantum group O n +, the so-called easy quantum groups, introduced by Banica and Speicher in This correspondence was generalized to two-colored set partitions, which, in addition, assign a black or white color to each point of a set.

Speicher and M. Weber, Quantum groups with partial commutation relations, preprint (), arXiv Google Scholar; T. Timmermann, An Invitation to Quantum Groups and Duality: From Hopf Algebras to Multiplicative Unitaries and Beyond, EMS Textbooks in Mathematics (European Mathematical Society (EMS), ).

Crossref, Google. Nuclear Physics B () North-Holland DUALITY AND QUANTUM GROUPS L. ALVAREZ-GAUM, C. GOMEZZ* and G. SIERRA** 1Theory Division, CERN, CH Gen Switzerland 'Dartnzent de Physique Thrique, Universitde Gene, Geneva, Switzerland Received 24 May We show that the duality properties of Rational Conformal.

Examples of compact (matrix) quantum groups and of Hopf algebras The seminar is held in English. This seminar is for students having some basic background in functional analysis. Announcement of the seminar References.

Timmermann, An invitation to quantum groups and duality, EMS, (book). Second, there are non-easy quantum groups between the free orthogonal quantum group and the permutation group. Third, we study operator algebraic properties of.

Quantum Groups and Their Representations, by Anatoli Klimyk and Konrad Schmudgen. They have a penchant for doing things in excruciating, unenlightening formulas, but this book is the first one that I learned quantum groups from, so it remains the most familiar to me.

This one has a lot more about Hopf $*$-algebras than any of the others. EMS Textbooks in Mathematics (共21册), 这套丛书还有 《Distributions, Sobolev Spaces, Elliptic Equations》,《An Invitation to Quantum Groups and Duality》,《A Brief Introduction to Spectral Graph Theory》,《Lectures on Dynamical Systems》,《Large Scale Geometry》 等。.

By Gizem Karaali, Published on 01/01/ Title. Book Review: An Invitation to Quantum Groups and Duality: From Hopf Algebras to Multiplicative Unitaries and BeyondAuthor: Gizem Karaali.An invitation to quantum groups and duality: from Hopf algebras to multiplicative unitaries and beyond By Thomas Timmermann Topics: General Theoretical Physics.An Invitation to Quantum Groups and Duality - From Hopf Algebras to Multiplicative Unitaries and Beyond.

EMS Textbooks in Mathematics, European Mathematical Society. ISBN CS1 maint: ref=harv ; Kustermans, J.; Vaes, S. ().

"Locally Compact Quantum Groups". Annales Scientifiques de l'École Normale Supérieure.