Last edited by Dogor
Wednesday, May 13, 2020 | History

9 edition of Hopf algebras found in the catalog.

Hopf algebras

by Eiichi Abe

  • 133 Want to read
  • 3 Currently reading

Published by Cambridge University Press in Cambridge, [Eng], New York .
Written in English

    Subjects:
  • Hopf algebras.

  • Edition Notes

    StatementEiichi Abe ; translated by Hisae Kinoshita and Hiroko Tanaka.
    SeriesCambridge tracts in mathematics
    Classifications
    LC ClassificationsQA613.8 .A213
    The Physical Object
    Paginationxii, 284 p. ;
    Number of Pages284
    ID Numbers
    Open LibraryOL4426790M
    ISBN 100521222400
    LC Control Number79050912

    The concept of Hopf algebras was first introduced in the theory of algebraic topology but in recent years has been developed by many mathematicians and applied to other areas of mathematics such as Lie groups, algebraic groups and Galois theory. This book is an introduction to the basic theory of Hopf algebras for the reader already familiar with the basic ideas of linear algebra and. The book provides a detailed account of basic coalgebra and Hopf algebra theory with emphasis on Hopf algebras which are pointed, semisimple, quasitriangular, or are of certain other quantum groups. It is intended to be a graduate text as well as a research monograph.

      Hopf Algebra by Sorin Dascalescu, , available at Book Depository with free delivery worldwide. This book is an introduction to the basic theory of Hopf algebras for the reader already familiar with the basic ideas of linear algebra and commutative algebra. After introducing and discussing the basic properties of coalgebras, bialgebras and Hopf algebras, the author treats the fundamental structure theorem of bi-modules and Sullivan's Price Range: $ - $

    Buy HOPF Algebras: An Introduction by Sorin Dascalescu, Constantin Nastasescu, Serban Raianu online at Alibris. We have new and used copies available, in 1 editions - starting at $ Shop now. This is a survey on the state-of-the-art of the classification of finite-dimensional complex Hopf algebras. This general question is addressed through the consideration of different classes of.


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Hopf algebras by Eiichi Abe Download PDF EPUB FB2

"In this book, Underwood chooses to introduce Hopf algebras in a manner most natural to a reader whose knowledge of algebra does not extend much beyond a Cited by: It uses the newly introduced theory of bi-Frobenius algebras to investigate a notion of group-like algebras and summarizes results on the classification of Hopf algebras of dimension pq.

It also explores pre-Lie, dendriform, and Nichols algebras and discusses Hopf algebras book cones for infinitesimal group schemes. Read more Read less click to open popoverFormat: Paperback.

It uses the newly introduced theory of bi-Frobenius algebras to investigate a notion of group-like algebras and summarizes results on the classification of Hopf algebras of dimension pq. It also explores pre-Lie, dendriform, and Nichols algebras and discusses support cones for infinitesimal group schemes.

The study of Hopf algebras spans many fields in mathematics including topology, algebraic geometry, algebraic number theory, Galois module theory, cohomology of Hopf algebras book, and formal groups and has wide-ranging connections to fields from theoretical physics to computer science.

Book Description "This remarkable reference covers topics such as quantum groups, Hopf Galois theory, actions and coactions of Hopf algebras, smash and crossed products, and the structure of cosemisimple Hopf algebras.

Hopf Algebras and Quantum Groups - CRC Press Book This volume is based on the proceedings of the Hopf-Algebras and Quantum Groups conference at the Free University of Brussels, Belgium. It presents state-of-the-art papers - selected from over 65 participants representing nearly 20 countries and more than 45 lectures - on the theory of Hopf algebras.

Hopf Algebra: An Introduction - CRC Press Book This study covers comodules, rational modules and bicomodules; cosemisimple, semiperfect and co-Frobenius algebras; bialgebras and Hopf algebras; actions and coactions of Hopf algebras on algebras; finite dimensional Hopf algebras, with the Nicholas-Zoeller and Taft-Wilson theorems and character the.

Hopf algebras A great way to learn about recent developments and find open problems is to visit the math arXiv, where many researchers post their papers before they are officially published (and keep them there afterwards). You can search for any keywords that interest you. A (necessarily incomplete) list of related books.

In this paper, we review a number of basic results about so-called Hopf algebras. We begin by giving a historical account of the results obtained in the ’s and ’s about the topology of Lie groups and compact symmetric spaces.

The climax is provided by the. Hopf algebras | Sweedler M.E. | download | B–OK. Download books for free. Find books. The book provides a detailed account of basic coalgebra and Hopf algebra theory with emphasis on Hopf algebras which are pointed, semisimple, quasitriangular, or are of certain other quantum groups.

It is intended to be a graduate text as well as a research : The last chapter (Chapter 4) discusses several applications of Hopf algebras, some of which are further developed in the author’s publication, An Introduction to Hopf Algebras.

The book may be used as the main text or as a supplementary text for a graduate algebra course. Try the new Google Books. Check out the new look and enjoy easier access to your favorite features Hopf algebras. Moss E. Sweedler. Benjamin, (C Hopf algebra Hopf algebra map Hopf module implies induces injective inverse Ker f left ideal LEMMA Let F Let H Lie algebra linear map map F maximal ideal morphism multiplication N.

World Scientific, - Mathematics - pages 0 Reviews The book provides a detailed account of basic coalgebra and Hopf algebra theory with emphasis on Hopf algebras which are pointed. Book description This is the first book to be dedicated entirely to Drinfeld's quasi-Hopf algebras.

Ideal for graduate students and researchers in mathematics and mathematical physics, this treatment is largely self-contained, taking the reader from the basics, with complete proofs, to much more advanced topics, with almost complete proofs.

Description: The book provides a detailed account of basic coalgebra and Hopf algebra theory with emphasis on Hopf algebras which are pointed, semisimple, quasitriangular, or are of certain other quantum groups. It is intended to be a graduate text as well as a research monograph. Chelsea Walton [email protected] Examples of Hopf algebras H= (H;m;u) + (H;∆;) + S algebra coalgebra antipode Let G be a finite group, g be a Lie algebra, q ∈C×, and ζ be a primitive n-th root of unity.

CG group algebra algebra structure X ∆(g) = g⊗g(g) = 1S(g) = g−1 ∀g∈G semisimple finite dimensional pointed cocommutative.

Modules and algebras Hopf algebras Hopf algebras and representations of groups Applications to algebraic groups Applications to field theory --Appendix --References --Index. Series Title: Cambridge tracts in mathematics.

Other Titles: Hoppu daisū. Responsibility: Eiichi Abe ; translated by Hisae Kinoshita and Hiroko Tanaka. In this way the student transitions smoothly from basic algebraic geometry to Hopf algebras.

The importance of Hopf orders is underscored with applications to algebraic number theory, Galois module theory and the theory of formal groups. By the end of the book, readers will be familiar with established results in the field and ready to pose. Hopf Algebras and Galois Theory. (= Lecture Notes in Mathematics - Volume 97).

Chase, Stephen U. and Moss E. Sweedler. Published by Aachen, Springer, Berlin (). Discussing connections of Hopf algebras to other areas of mathematics, including category theory, group theory, combinatorics, and the theory of knots and links in topology, Advances in Hopf Algebras offers positive results on local freeness built around the Hopf algebra theme covers topics such as quantum groups, Hopf Galois theory, actions.Unique features of the book include a new way to introduce Hopf algebras and coalgebras, an extensive discussion of the many universal properties of the functor of the Witt vectors, a thorough discussion of duality aspects of all the Hopf algebras mentioned, emphasis on the combinatorial aspects of Hopf algebras, and a survey of applications.$ $ Rent $ $ Ebook The book provides a detailed account of basic coalgebra and Hopf algebra theory with emphasis on Hopf algebras which are pointed, semisimple, quasitriangular.