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An Introduction to Hopf Algebras
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ISBN10: 1489997849
ISBN13: 9781489997845
Publisher: Springer Nature
Published: Aug 15 2014
Pages: 273
Weight: 0.90
Height: 0.60 Width: 6.14 Depth: 9.21
Language: English
ISBN13: 9781489997845
Publisher: Springer Nature
Published: Aug 15 2014
Pages: 273
Weight: 0.90
Height: 0.60 Width: 6.14 Depth: 9.21
Language: English
With wide-ranging connections to fields from theoretical physics to computer science, Hopf algebras offer students a glimpse at the applications of abstract mathematics. This book is unique in making this engaging subject accessible to advanced undergraduate and beginning graduate students. After providing a self-contained introduction to group and ring theory, the book thoroughly treats the concept of the spectrum of a ring and the Zariski topology. In this way the student transitions smoothly from basic abstract algebra to Hopf algebras. The importance of Hopf orders is underscored with applications to algebraic number theory, Galois module theory and the theory of formal groups. By the end of the book, readers will be familiar with established results in the field and ready to pose research questions of their own.
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