5 edition of **Hopf Algebras (Lecture Notes in Pure and Applied Mathematics)** found in the catalog.

- 8 Want to read
- 7 Currently reading

Published
**January 28, 2004** by CRC .

Written in English

- Linear algebra,
- Hopf algebras,
- Algebra - General,
- Mathematics,
- Science/Mathematics,
- Advanced,
- Applied,
- Mathematics / Algebra / General,
- Congresses

**Edition Notes**

Contributions | Jeffrey Bergen (Editor), Stefan Catoiu (Editor), William Chin (Editor) |

The Physical Object | |
---|---|

Format | Hardcover |

Number of Pages | 200 |

ID Numbers | |

Open Library | OL8125804M |

ISBN 10 | 0824755669 |

ISBN 10 | 9780824755669 |

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 5/5(1).

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The study of Hopf algebras spans many fields in mathematics including topology, algebraic geometry, algebraic number theory, Galois module theory, cohomology of groups, and formal groups and has wide-ranging connections to fields from theoretical physics to computer by: 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 : Hardcover. 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. 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. DOI link for Hopf Algebra. Hopf Algebra book. An Introduction. Hopf Algebra. DOI link for Hopf Algebra.

Hopf Algebra book. An Introduction. By Sorin Dascalescu, Constantin Nastasescu, Serban Raianu. Edition 1st Edition. First Published eBook Published 15 September Pub. location Boca by: With wide-ranging connections to fields from theoretical physics to computer science, Hopf algebras offer students a glimpse at the applications of abstract mathematics.

This book is unique in making this engaging subject accessible to advanced undergraduate and beginning graduate students. 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. 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 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.

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 : 'This book serves as a thorough reference source for topics related to the algebraic structure of quasi-Hopf algebras, their representations, and many key examples.

By using the language of category theory throughout, this book presents its material very abstractly but in a way that allows results from the study of Hopf algebras to generalize to quasi-Hopf algebras.'.

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Try the new Google Books (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-sequence.

hopf algebras san francisco state university universidad de los andes federico ardila hopf cafe. homework. lectures. people. projects. syllabus. texts. The following is a list of books and other resources that you might find helpful. Hopf algebra emerged slowly from the work of the topologists in the ’s dealing with the cohomology of compact Lie groups and their homogeneous is contained in the book [24] by C.

Chevalley. An analogous theorem about semisimple Lie algebras was proved by Harish-Chandra [44]. The treatment. This is a survey on pointed Hopf algebras over algebraically closed ﬁelds of characteristic 0.

We propose to classify pointed Hopf al-gebras A by ﬁrst determining the graded Hopf algebra grA associated to the coradical ﬁltration of A.

The A0-coinvariants elements form a braided Hopf algebra R in the category of Yetter–Drinfeld modules. This text aims to provide graduate students with a self-contained introduction to topics that are at the forefront of modern algebra, namely, coalgebras, bialgebras, and Hopf algebras.

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 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. 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. 3., 7., are the oldest books on the topic.

Lots of today's hopf algebraists have started studying from these books. Still authoritative today. contains an extensive general introduction on various topics from abstract algebra).

2., is a relatively small and dense book, addressed to students who feel experienced with abstract algebra texts. 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 Brand: American Mathematical Society. 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. Being the first monograph devoted to this subject, the book addresses the classification problem for semisimple Hopf algebras, a field that has attracted considerable attention in the last years.

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.

Hopf algebra basics Hopf algebras arise naturally in combinatorics and algebra, where there are â€œthingsâ€ that eak into parts that can also be put together with some compatibility between operations [24]. hey have emerged as a central object of study in algebra through quantum groups [14,18,36] d in combinatorics [1,4,23].

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: $ - $ New Directions in Hopf Algebras by S.

Montgomery, H. Schneider - Cambridge University Press Hopf algebras have important connections to quantum theory, Lie algebras, knot and braid theory, operator algebras, and other areas. The book gives a clear picture of the current trends, with a focus on what will be important in future research.

( views). 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.

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 Hopf Algebras (Series on Knots and Everything series) by David E.

Radford. 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. Providing an accessible introduction to Hopf algebras, this book would make an excellent graduate textbook for a course in Hopf algebras or an introduction to quantum groups.

Book Series Name: CBMS Regional Conference Series in Mathematics. Volume:. Hopf Algebras by Jeffrey Bergen,available at Book Depository with free delivery worldwide. Hopf algebras. [Moss E Sweedler] Home. WorldCat Home About WorldCat Help.

Search. Search for Library Items Search for Lists Search for Contacts Search for a Library. Create Book: All Authors / Contributors: Moss E Sweedler. Find more information about: ISBN: OCLC Number.

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. Indeed, Underwood states in the book’s Preface that his work “differs from other texts in that Hopf algebras are developed from notions of topological spaces, sheaves, and representable functors,” and he stresses that “algebraic geometry and category theory [should] provide a smooth transition from modern algebra to Hopf algebras.”.

Only book on Hopf algebras aimed at advanced undergraduates. Buy the eBook. List Price $ USD. Your price $ USD.

Add to cart Buy Now Add to Wishlist Remove from Wishlist. Or, get it for Kobo Super Points. See if you have enough points for this item. Brand: Springer New York. Pointed Hopf algebras constitute the class best understood; the classification of those with abelian group is expected to be completed soon and there is substantial progress in the non-abelian case.

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 : Eiichi Abe.

The uniqueness of integrals and the bijectivity of the antipode -- Ideals in Hopf algebras with nonzero integrals -- Hopf algebras constructed by Ore extensions -- 6.

Actions and coactions of Hopf algebras -- Actions of Hopf algebras on algebras -- Coactions of Hopf algebras on algebras -- The Morita context -- is, Hopf algebras, algebraic, formal, and quantum groups.

This is chapter 2 of his book Lectures on quantum groups and noncommutative geometry ein, Sackler lectures on quantum groups and TQFTs.A survey of quantum groups (gunzipped ps file)In and around the origin of quantum groups mann, Lectures on.

Hopf algebras of dimension $2p^2$ were also classified by Hilgemann and Ng, see the following paper: Hilgemann, Michael; Ng, Siu-Hung. Hopf algebras of dimension $2p^2$. Lond. Math. Soc. (2) 80 (), no. 2, MR (h), link. Of course, these are not the only general results.

For a good accound related to the. 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.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 : Springer International Publishing.Throughout the study of the Hopf Algebra I came to realize the importance of the Hopf algebra for quantum spaces and for is really a revolution in those chapters.

References. MajidBook A quantum groups primer.(Book) David E Radford, Hopf Algebras (Book).