Last edited by Kalrajas
Tuesday, July 28, 2020 | History

6 edition of Quantum Groups and Non Commutative Geometry found in the catalog.

Quantum Groups and Non Commutative Geometry

by Y. E. Manin

  • 70 Want to read
  • 31 Currently reading

Published by Centre De Recherches Mathematiques .
Written in English

    Subjects:
  • Science/Mathematics

  • The Physical Object
    FormatSpiral-bound
    Number of Pages91
    ID Numbers
    Open LibraryOL12657068M
    ISBN 102921120003
    ISBN 109782921120005

    not yet been done for quantum groups. The aim of this paper is to com-pute the non-commutative Chern characters for compact quantum groups inaC-algebra setting. Algebraic and topological K-theories of Banach algebras are known to have good properties such as homotopy invariance, Morita invariance, exci-sion, etc.   Algorithmic Methods in Non-Commutative Algebra: Applications to Quantum Groups (Mathematical Modelling: Theory and Applications Book 17) - Kindle edition by Bueso, J.L., Gómez-Torrecillas, José, Verschoren, A.. Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Algorithmic Methods in Non Manufacturer: Springer.

    Quantum vector spaces were basically invented by Manin in his book, ``Noncommutative Geometry and Quantum Groups,'' and I will only be talking about a subclass of his quantum vector spaces. To get at the concept, you have to think like an algebraic geometer -- or a quantum field theorist. Our aim is to introduce the ideas of non-commutative geometry through the example of the Quantum Hall Effect (QHE). We present a few concrete situations where the concepts of non-commutative geometry find physical applications.

      Topics in Non-Commutative Geometry. Y. Manin. Hardcover ISBN: $/£ Paperback ISBN: and provides an introduction to quantum groups. This book is intended for mathematicians and physicists with some background in Lie groups and complex geometry. This book consists of lecture notes for a course given at the EMS Summer School on Non-commutative Geometry and Applications, at Monsaraz and Lisboa, Portugal in September, These were made available in preprint form on the ArXiv, as physics/, at that time. In updating them for publication, I have kept to the original plan, but have.


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Quantum Groups and Non Commutative Geometry by Y. E. Manin Download PDF EPUB FB2

This textbook presents an expanded write-up of Manin's celebrated Montreal author 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.

Noncommutative geometry (NCG) is a branch of mathematics concerned with a geometric approach to noncommutative algebras, and with the construction of spaces that are locally presented by noncommutative algebras of functions (possibly in some generalized sense).

A noncommutative algebra is an associative algebra in which the multiplication is not commutative, that is, for which does not. The quantum groups discussed in this book are the quantized enveloping algebras introduced by Drinfeld and Jimbo inor variations thereof.

In the subsequent chapters the richness of mathematical structure and power of the quantum deformation methods and non-commutative geometry is illustrated on the different examples starting from. Quantum groups and quantum algebras as well as non-commutative differential geometry are important in mathematics and considered to be useful tools for model building in statistical and quantum physics.

This book, addressing scientists and postgraduates, contains a detailed and rather complete presentation of the algebraic framework. Quantum groups and quantum algebras as well as non-commutative differential geometry are important in mathematics.

They are also considered useful tools for model building in statistical and quantum physics. This book, addressing scientists and postgraduates, contains a detailed and rather complete presentation of the algebraic framework.

This book is intended for mathematicians and physicists with some background in Lie groups and complex geometry. Originally published in The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press.

Various aspects of the Yang-Baxter equation, related algebraic structures, and applications are presented in this volume. The algebraic approach to bundles in non-commutative geometry and the definition of quantum real weighted projective spaces are reviewed.

Home page url. Download or read it online for free here: Download link (MB, PDF). Noncommutative algebraic geometry is a branch of mathematics, and more specifically a direction in noncommutative geometry, that studies the geometric properties of formal duals of non-commutative algebraic objects such as rings as well as geometric objects derived from them (e.g.

by gluing along localizations or taking noncommutative stack quotients). QUANTUM GROUPS AND NONCOMMUTATIVE GEOMETRY Shahn Majid School of Mathematical Sciences, Queen Mary and West eld College University of London, Mile End Rd, London E1 4NS, UK November, Abstract Quantum groups emerged in the latter quarter of the 20th century as, on the one hand, a deep and natural generalisation of symmetry groups for certain.

The correspondence between geometric spaces and commutative algebras is a familiar and basic idea of algebraic geometry. The purpose of this book is to extend this correspondence to the noncommutative case in the framework of real analysis.

The theory, called noncommutative geometry, rests on two essential points: 1. Topics in Non-Commutative Geometry and provides an introduction to quantum groups.

This book is intended for mathematicians and physicists with some background in Lie groups and complex ally published in The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of. Majid S Non-commutative-geometric groups by a bicrossproduct construction: Hopf algebras at the Planck scale PhD Thesis Harvard University [3] Dubois-Violette M, Kerner R and Madore J Non-commutative differential geometry of matrix algebras J.

Math. Phys. 31 Cite this paper as: Batchelor M. () Measuring coalgebras, quantum group-like objects, and non-commutative geometry.

In: Bartocci C., Bruzzo U., Cianci R. (eds) Differential Geometric Methods in Theoretical Physics. Book Description. The description of the structure of group C*-algebras is a difficult problem, but relevant to important new developments in mathematics, such as non-commutative geometry and quantum groups.

Although a significant number of new methods and results have been obtained, until now they have not been available in book form. Topics in Non-Commutative Geometry. Series:Porter Lectures 3. See all formats and pricing Prices do not include postage and handling if applicable.

Free shipping for non-business customers when ordering books at De Gruyter Online. Please find details to our shipping QUANTUM GROUPS AS SYMMETRIES OF ().

In Topics in Non-Commutative. Get this from a library. Quantum groups and non-commutative geometry. [IU I Manin; Université de Montréal. Centre de recherches mathématiques.]. Quantum groups and non-commutative geometry. Montréal: Centre de recherches mathématiques, Université de Montréal, (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: I︠U︡ I Manin; Université de Montréal.

Centre de recherches mathématiques. to the realm of non-commutative geometry (for instance quantum groups), rst by lack of space and also because other lecturers will do it.

Notice that an introductory book to non-commutative geometry already exists [1]. This book is available in French but an English version of it should appear soon [2].

The following is by no means a \summary". Noncommutative Geometry, Quantum Fields and Motives Volume 55 of American Mathematical Society Volume 55 of American Mathematical Society.

Colloquium publications Volume 55 of Colloquium Publications - American Mathematical Society Volume 55 of Colloquium publications: Authors: Alain Connes, Matilde Marcolli: Publisher: American Mathematical. An illustration of an open book. Books. An illustration of two cells of a film strip.

Video An illustration of an audio speaker. Quantum Groups, Non-Commutative Differential Geometry and Applications Quantum Groups, Non-Commutative Differential Geometry and Applications by Peter Schupp. Publication date. Buy Quantum Groups and Their Applications in Physics (Proceedings of the International School of Physics "Enrico Fermi") (Proceedings of the International School of Physics "Enrico Fermi") by L.

Castellani, L. Castellani, J. Wess (ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible orders.

Buy Algebraic Foundations of Non-Commutative Differential Geometry and Quantum Groups (Lecture Notes in Physics Monographs) on FREE SHIPPING on qualified orders Algebraic Foundations of Non-Commutative Differential Geometry and Quantum Groups (Lecture Notes in Physics Monographs): Pittner, Ludwig: : BooksCited by: 9.Topics in Non-Commutative Geometry - Ebook written by Y.

Manin. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read Topics in Non-Commutative Geometry.