Umfang:
Online-Ressource (XV, 370 p. 155 illus., 2 illus. in color, online resource)
ISBN:
9783319508535
Serie:
SpringerLink
Inhalt:
§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
Inhalt:
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 them. The course covers substantial areas of advanced combinatorics, geometry, linear and multilinear algebra, representation theory, category theory, commutative algebra, Galois theory, and algebraic geometry - topics that are often overlooked in standard undergraduate courses. This textbook is based on courses the author has conducted at the Independent University of Moscow and at the Faculty of Mathematics in the Higher School of Economics. The main content is complemented by a wealth of exercises for class discussion, some of which include comments and hints, as well as problems for independent study
Weitere Ausg.:
ISBN 9783319508528
Weitere Ausg.:
Erscheint auch als Druck-Ausgabe Gorodentsev, Alexey L. Algebra ; 2 Cham, Switzerland : Springer, 2017 ISBN 9783319508528
Sprache:
Englisch
Fachgebiete:
Mathematik
DOI:
10.1007/978-3-319-50853-5
URL:
Volltext
(lizenzpflichtig)
