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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Arithmetik & Algebra Fundamentals of Hopf Algebras
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Fundamentals of Hopf Algebras
Robert G. Underwood (Taschenbuch, Englisch)
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Beschreibung
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. 69,54 €
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Technische Daten
Erscheinungsdatum
25.06.2015
Sprache
Englisch
EAN
9783319189901
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Universitext
Sonderedition
Nein
Autor
Robert G. Underwood
Seitenanzahl
150
Einbandart
Taschenbuch
Autorenporträt
Robert G. Underwood, MS, PhD, is a professor of Mathematics at Auburn University at Montgomery and author of Introduction to Hopf Algebras © Springer 2011. The author's course notes which contribute strongly to this present book have been used in his modern algebra class since 2008.
Schlagwörter
Galois module theory, Hopf algebras, bialgebras, coalgebras, finite fields, knot theory
Thema-Inhalt
PBF - Algebra
PBH - Zahlentheorie
UYA - Theoretische Informatik
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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