Algebra and Galois Theories. 1st ed. 2020
- 種類:
- 電子ブック
- 責任表示:
- by Régine Douady, Adrien Douady
- 出版情報:
- Cham : Springer International Publishing : Imprint: Springer, 2020
- 著者名:
- ISBN:
- 9783030327965 [3030327965]
- 注記:
- Introduction -- Chapter 1. Zorn’s Lemma -- Chapter 2. Categories and Functors -- Chapter 3. Linear Algebra -- Chapter 4. Coverings -- Chapter 5. Galois Theory -- Chapter 6. Riemann Surfaces -- Chapter 7. Dessins d’Enfants -- Bibliography -- Index of Notation.
Galois theory has such close analogies with the theory of coverings that algebraists use a geometric language to speak of field extensions, while topologists speak of "Galois coverings". This book endeavors to develop these theories in a parallel way, starting with that of coverings, which better allows the reader to make images. The authors chose a plan that emphasizes this parallelism. The intention is to allow to transfer to the algebraic framework of Galois theory the geometric intuition that one can have in the context of coverings. This book is aimed at graduate students and mathematicians curious about a non-exclusively algebraic view of Galois theory. - ローカル注記:
- 岐阜大学構成員専用E-BOOKS (Gifu University members only)
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