Fundamentals of Hopf Algebras

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  • Fundamentals of Hopf Algebras Book Detail

  • Author : Robert G. Underwood
  • Release Date : 2015-06-10
  • Publisher : Springer
  • Genre : Mathematics
  • Pages : 164
  • ISBN 13 : 3319189913
  • File Size : 22,22 MB

Fundamentals of Hopf Algebras by Robert G. Underwood PDF Summary

Book Description: 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 2011 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. Prerequisites for this text include standard material on groups, rings, modules, algebraic extension fields, finite fields and linearly recursive sequences. The book consists of four chapters. Chapter 1 introduces algebras and coalgebras over a field K; Chapter 2 treats bialgebras; Chapter 3 discusses Hopf algebras and Chapter 4 consists of three applications of Hopf algebras. Each chapter begins with a short overview and ends with a collection of exercises which are designed to review and reinforce the material. Exercises range from straightforward applications of the theory to problems that are devised to challenge the reader. Questions for further study are provided after selected exercises. Most proofs are given in detail, though a few proofs are omitted since they are beyond the scope of this book.

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Fundamentals of Hopf Algebras

Fundamentals of Hopf Algebras

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This text aims to provide graduate students with a self-contained introduction to topics that are at the forefront of modern algebra, namely, coalgebras, bialge

Hopf Algebra

Hopf Algebra

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This study covers comodules, rational modules and bicomodules; cosemisimple, semiperfect and co-Frobenius algebras; bialgebras and Hopf algebras; actions and co

Hopf Algebras

Hopf Algebras

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The book provides a detailed account of basic coalgebra and Hopf algebra theory with emphasis on Hopf algebras which are pointed, semisimple, quasitriangular, o