# Read e-book online Fundamentals of Hopf Algebras (Universitext) PDF

By Robert G. Underwood

This textual content goals to supply graduate scholars with a self-contained advent to subject matters which are on the leading edge of contemporary algebra, specifically, coalgebras, bialgebras and Hopf algebras. The final bankruptcy (Chapter four) discusses a number of functions of Hopf algebras, a few of that are additional constructed within the author’s 2011 book, An creation to Hopf Algebras. The publication can be used because the major textual content or as a supplementary textual content for a graduate algebra path.  Prerequisites for this article contain ordinary fabric on teams, jewelry, modules, algebraic extension fields, finite fields and linearly recursive sequences.

The booklet includes 4 chapters. bankruptcy 1 introduces algebras and coalgebras over a box K; bankruptcy 2 treats bialgebras; bankruptcy three discusses Hopf algebras and bankruptcy four comprises 3 purposes of Hopf algebras. each one bankruptcy starts with a brief evaluate and ends with a set of routines that are designed to study and strengthen the fabric. routines diversity from user-friendly purposes of the idea to difficulties which are devised to problem the reader. Questions for additional research are supplied after chosen exercises. Most proofs are given intimately, notwithstanding a number of proofs are passed over in view that they're past the scope of this book.

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