Advances in Hopf algebras



Publisher: Dekker in New York

Written in English
Cover of: Advances in Hopf algebras |
Published: Pages: 326 Downloads: 661
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Subjects:

  • Hopf algebras -- Congresses.

Edition Notes

Statementedited by Jeffrey Bergen, Susan Montgomery.
SeriesLecture notes in pure and applied mathematics ;, v. 158
ContributionsBergen, Jeffrey, 1955-, Montgomery, Susan.
Classifications
LC ClassificationsQA613.8 .A38 1994
The Physical Object
Paginationvii, 326 p. :
Number of Pages326
ID Numbers
Open LibraryOL1077595M
ISBN 100824790650
LC Control Number94000804

  Hopf Algebras in Noncommutative Geometry and Physics by Stefaan Caenepeel, categorical aspects of Hopf algebras, and recent advances in the theory of corings and quasi-Hopf algebras. It provides examples and basic properties of corings and their comodules in relation to ring and Hopf algebra theory and analyzes entwining structures and. An Introduction to Hopf Algebras - Ebook written by Robert G. Underwood. 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 An Introduction to Hopf Algebras. This volume contains the proceedings of the scientific session “Hopf Algebras and Tensor Categories”, held from July 27–28, , at the Mathematical Congress of the Americas in Montreal, Canada. Papers highlight the latest advances and research directions in the theory of tensor categories and Hopf algebras. Throughout we work with involutive algebras over the field of complex numbers (but the algebraic results remain true for all fields of characteristic 0). All algebras are associative and have identity, we use the standard Hopf algebra notation and terminology and we always assume that the antipode of a Hopf algebra is bijective.

BOOK ON HOPF ALGEBRAS AND ROOT SYSTEMS | Joint project with Hans-Jürgen Schneider. We introduce Nichols algebras, present important classes of . We give a class of Hopf algebroids associated to module algebras of the Drinfeld doubles of Hopf algebras when the R-matrices act properly. When this construction is applied to quantum groups, we get examples of quantum groupoids, which have Poisson groupoids as their semi-classical limits. This book offers a unified description of Hopf algebras and their generalizations from a category theoretical point of view. The author applies the theory of liftings to Eilenberg–Moore categories to translate the axioms of each considered variant of a bialgebra (or Hopf algebra) to a bimonad (or Hopf monad) structure on a suitable functor. So I'm looking for a good introductory book on Hopf algebras for self-study and especially for one that has many examples and applications to the two topics mentioned above. (As for my background, I know abstract algebra, commutative algebra and non-commutative algebra at a basic graduate level, I'm familiar with the basics on representation.

  Ten papers from the July congress present advances in the theory of tensor categories motivated by the theory of Hopf algebras and in categorical methods playing a role in Hopf algebra . New Trends in Hopf Algebra Theory About this Title. Nicolás Andruskiewitsch, Walter Ricardo Ferrer Santos and Hans-Jürgen Schneider, Editors. Publication: Contemporary Mathematics Publication Year Volume ISBNs: (print); (online). This new book is a more elementary take on Hopf algebras than the author's previous Introduction to Hopf Algebras, a more advanced approach with an algebraic-geometric flavour. Fundamentals is short and gives more detail than one usually expects, for example in long displayed formulas verifying than certain maps are indeed algebra morphisms. constructive methods of wienner hopf factorization operator theory advances and applications Posted By Ann M. Martin Ltd TEXT ID b2b27 Online PDF Ebook Epub Library constructive methods of wiener hopf factorization operator theory advances and applications volume 21 2 3 pdf drive search and download pdf files for free indeed.

Advances in Hopf algebras Download PDF EPUB FB2

Book Description Table of Contents 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.

Advances in Hopf Algebras (Lecture Notes in Pure and Applied Mathematics) 1st Edition by Jeffrey Bergen (Editor), Susan Montgomery (Editor) ISBN Discussing connections of Hopf algebras to other areas of mathematics, including category theory, Advances in Hopf algebras book 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 and coactions of Hopf algebras, smash and crossed products, and the structure of cosemisimple Hopf algebras.

Advances In Hopf Algebras Advances In Hopf Algebras by Jeffrey Bergen. Download it Advances In Hopf Algebras books also available in PDF, EPUB, and Mobi Format for read it on your Kindle device, PC, phones or tablets.

"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.

Advances In Hopf Algebras eBook File: Book by Jeffrey Bergen, Advances In Hopf Algebras Books available in PDF, EPUB, Mobi Format. Download Advances In Hopf Algebras books, "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.

Electronic books Conference papers and proceedings Congresses: Additional Physical Format: Print version: Advances in Hopf algebras. New York: Marcel Dekker, © (DLC) (OCoLC) Material Type: Conference publication, Document, Internet resource: Document Type: Internet Resource, Computer File: All Authors / Contributors.

Advances in Algebra SRACMobile, Alabama, USA, March Editors (view affiliations) combinatorial commutative algebra, computational methods for representations of groups and algebras, group theory, Hopf-Galois theory, hypergroups, Lie superalgebras, matrix analysis, spherical and algebraic spaces, and tropical algebraic geometry.

Work on actions of Hopf algebras has unified earlier results on group actions, actions of Lie algebras, and graded algebras. This book brings together many of these recent developments from the viewpoint of the algebraic structure of Hopf algebras and their actions and coactions.

Quantum groups are treated Advances in Hopf algebras book an important example, rather than as an end in themselves. The two introductory chapters review Reviews: 1. Hopf Algebras. Eiichi Abe. Cambridge University Press, Jun 3, - Mathematics - pages.

0 Reviews. The concept of Hopf algebras was first introduced in the theory of algebraic topology. Hopf Algebras and Their Actions on Rings, Issue Hopf Algebras and Their Actions on Rings., Issue Susan Montgomery.

American Mathematical Soc., - Mathematics - pages. Book Description 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, including multiplier Hopf algebras and quantum groups.

In addition, some keystone facts of connected Hopf algebras over a field of characteristic 0 are observed as corollaries of the structure theorem, without the assumptions of having finite Gelfand-Kirillov dimension (or affineness) on Hopf algebras or of that the base field is algebraically by: 1.

Work on actions of Hopf algebras has unified earlier results on group actions, actions of Lie algebras, and graded algebras.

This book brings together many of these recent developments from the viewpoint of the algebraic structure of Hopf algebras and their actions and coactions. Quantum groups are treated as an important example, rather than as an end in themselves.

The two Price: $ This book is an introduction to Hopf algebras in braided monoidal categories with applications to Hopf algebras in the usual sense. The main goal of the book is to present from scratch and with complete proofs the theory of Nichols algebras (or quantum symmetric algebras) and the surprising relationship between Nichols algebras and generalized root systems.

Description The last ten years have seen a number of significant advances in Hopf algebras. The best known is the introduction of quantum groups, which are Hopf algebras that arose in mathematical physics and now have connections to many areas of mathematics. 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. The last ten years have seen a number of significant advances in Hopf algebras. The best known is the introduction of quantum groups, which are Hopf algebras that arose in mathematical physics and now have connections to many areas of mathematics.

Let A and B be two connected graded commutative k–algebras of finite type, where k is a perfect field of positive characteristic prove that the quasi–shuffle algebras generated by A and B are isomorphic as Hopf algebras if and only if A and B are isomorphic as graded k–vector spaces equipped with a Frobenius (pth–power) map.

For the hardest part of this analysis, we work with the. This work very nicely complements the other texts on Hopf algebras and is a welcome addition to the literature.” —Jan E.

Grabowski, Mathematical Reviews, July, "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 first year graduate. 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 5/5(1).

Download Advances In Commutative Algebra books, This book highlights the contributions of the eminent mathematician and leading algebraist David F. Anderson in wide-ranging areas of commutative algebra.

It provides a balance of topics for experts and non-experts, with a mix of survey papers to offer a synopsis of developments across a range of areas of commutative algebra and outlining Anderson’s work. Hopf algebras and representations Spring Acknowledgements. What I know of Hopf algebras I learned mostly from Rinat Kashaev in the spring of when he taught the course Algebr` es de Hopf at the Universite´ de Geneve`.

His lectures were inspiring, and he kindly spent a lot of time discussing the subject with me, explaining things. Books A - Z; Journals A - Z Advances in Applied Clifford Algebras.

All Volumes & Issues. Vol Issue 2, April ISSN: (Print) (Online) In this issue (15 articles) OriginalPaper. Chao Ding Article OriginalPaper.

Drinfeld Codoubles of Hom–Hopf Algebras. Xiaohui Zhang, Shuangjian Guo, Shengxiang Wang. Hopf Algebras and Galois Theory. Bln., Springer 4°. Pbck. (slightly stained).- Lecture Notes in Mathematics, by CHASE, Stephen U. & Moss E. SWEEDLER and a great selection of related books, art and collectibles available now at 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 Algebras and Quantum Groups book. Hopf Algebras and Quantum Groups. DOI link for Hopf Algebras and Quantum Groups.

Hopf Algebras and Quantum Groups book. Edited By Stefaan Caenepeel, Freddy Van Oystaeyen. Edition 1st Edition. First Published eBook Published 7 May Pub. location Boca Raton. Author: Sorin Dascalescu Publisher: CRC Press ISBN: Size: MB Format: PDF, Mobi View: Get Books.

Hopf Algebra Hopf Algebras by Sorin Dascalescu, Hopf Algebra Books available in PDF, EPUB, Mobi Format. Download Hopf Algebra books, This study covers comodules, rational modules and bicomodules; cosemisimple, semiperfect and co-Frobenius algebras; bialgebras and Hopf. This volume contains the proceedings of the scientific session “Hopf Algebras and Tensor Categories”, held from July 27–28,at the Mathematical Congress of the Americas in Montreal, Canada.

Papers highlight the latest advances and research directions in the. I think it is also worth to mention the book "S. Dascalescu: Hopf algebras. An introduction" as a suitable textbook on the algebraic theory of Hopf algebras. However, since it is not dealing with quantum groups, it could be timely to use it together with some books mentioned by MTS on this subject.

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.

Advances in algebra and combinatorics; proceedings. International Congress in Algebra and Combinatorics (2d: Guangzhou, China) Ed.

by K.P. Shum et al. World Scientific pages $ Hardcover QA The conference was in fact peripatetic, held successively in Guangzhou, Beijing, and Xian over the course of two weeks.7 Hopf algebras Definition of Hopf algebra, the antipode Q-binomial symbols Two families of examples The dual Hopf algebra The free Hopf algebra on a coalgebra When a bialgebra is a Hopf algebra Two-cocycles, pairings, and skew pairings of bialgebras Twists of bialgebras Hopf Algebras in Noncommutative Geometry and Physics, Hardcover by Caenepeel, Stefaan (EDT), ISBNISBNBrand New, Free shipping in the US This comprehensive reference summarizes the proceedings and keynote presentations from a recent conference held in Brussels, Rating: % positive.