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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Gorodentsev, Alexey L. (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
Πίνακας περιεχομένων:
  • §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.