By Robert G. Underwood
ISBN-10: 3319189905
ISBN-13: 9783319189901
This textual content goals to supply graduate scholars with a self-contained advent to themes which are on the vanguard of recent algebra, particularly, coalgebras, bialgebras and Hopf algebras. The final bankruptcy (Chapter four) discusses numerous functions of Hopf algebras, a few of that are extra built within the author’s 2011 booklet, An advent to Hopf Algebras. The ebook can be utilized because the major textual content or as a supplementary textual content for a graduate algebra path. Prerequisites for this article comprise general fabric on teams, earrings, modules, algebraic extension fields, finite fields and linearly recursive sequences.
The booklet contains 4 chapters. bankruptcy 1 introduces algebras and coalgebras over a box K; bankruptcy 2 treats bialgebras; bankruptcy three discusses Hopf algebras and bankruptcy four contains 3 purposes of Hopf algebras. each one bankruptcy starts with a brief evaluation and ends with a suite of routines that are designed to study and make stronger the cloth. workouts diversity from simple functions of the speculation to difficulties which are devised to problem the reader. Questions for extra learn are supplied after chosen exercises. Most proofs are given intimately, although a number of proofs are passed over for the reason that they're past the scope of this book.
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Fundamentals of Hopf Algebras (Universitext) by Robert G. Underwood
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