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Fundamentals of Hopf Algebras (Paperback, 2015 ed.)
Loot Price: R2,297
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Fundamentals of Hopf Algebras (Paperback, 2015 ed.)
Series: Universitext
Expected to ship within 10 - 15 working days
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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, 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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