Algebra II Textbook for Students of Mathematics /
This book is the second volume of an intensive “Russian-style” two-year undergraduate course in abstract algebra, and introduces readers to the basic algebraic structures – fields, rings, modules, algebras, groups, and categories – and explains the main principles of and methods for working with the...
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| Format: | Electronic eBook |
| Language: | English |
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Cham :
Springer International Publishing : Imprint: Springer,
2017.
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| Online Access: | Full Text via HEAL-Link |
Table of Contents:
- §1Tensor Products
- §2 Tensor Algebras
- §3 Symmetric Functions
- §4 Calculus of Arrays, Tableaux, and Diagrams
- §5 Basic Notions of Representation Theory
- §6 Representations of Finite Groups in Greater Detail
- §7 Representations of Symmetric Groups
- §8 sl_2-Modules
- §9 Categories and Functors
- §10 Extensions of Commutative Rings
- §11 Affine Algebraic Geometry
- §12 Algebraic Manifolds
- §13 Algebraic Field Extensions
- §14 Examples of Galois Groups
- References
- Hints to Some Exercises
- Index.
