Last edited by Nele
Thursday, July 30, 2020 | History

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

Hopf Algebras (Lecture Notes in Pure and Applied Mathematics)

  • 36 Want to read
  • 17 Currently reading

Published by CRC .
Written in English

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

  • Edition Notes

    ContributionsJeffrey Bergen (Editor), Stefan Catoiu (Editor), William Chin (Editor)
    The Physical Object
    FormatHardcover
    Number of Pages200
    ID Numbers
    Open LibraryOL8125804M
    ISBN 100824755669
    ISBN 109780824755669

    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°. p. 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.


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Hopf Algebras (Lecture Notes in Pure and Applied Mathematics) Download PDF EPUB FB2

The study of Hopf algebras spans many fields in mathematics including topology, algebraic geometry, algebraic number theory, Galois module theory, cohomology Hopf Algebras book 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 Hopf Algebras book 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.'.

Try the new Google Books. Check out the new look and enjoy easier access to your favorite features. Try it now. No thanks. 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.