Описание: This book offers a self-contained exposition of local class field theory, serving as a second course on Galois theory. Written for beginning graduate students and advanced undergraduates, the material will find use across disciplines including number theory, representation theory, algebraic geometry, and algebraic topology.
Автор: Peter Schneider Название: Galois Representations and (Phi, Gamma)-Modules ISBN: 110718858X ISBN-13(EAN): 9781107188587 Издательство: Cambridge Academ Рейтинг: Цена: 8554.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The first detailed and self-contained introduction to a key part of local number theory, which uses the general framework of Lubin-Tate extensions of local number fields. This book allows graduate students to acquire the necessary basis for solving research problems, while also offering researchers many of the basic results.
Автор: Stefaan Caenepeel Название: Brauer Groups, Hopf Algebras and Galois Theory ISBN: 1402003463 ISBN-13(EAN): 9781402003462 Издательство: Springer Рейтинг: Цена: 10480.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Devoted to the Brauer group of a commutative ring and related invariants. This volume includes the development of the theory of Grothendieck topologies and etale cohomology. It has a discussion of topics such as Gabber`s theorem and the theory of Taylor`s big Brauer group of algebras. It also offers the development of the Galois theory.
Описание: A new approach to conveying abstract algebra, the area that studies algebraic structures, such as groups, rings, fields, modules, vector spaces, and algebras, that is essential to various scientific disciplines such as particle physics and cryptology. It provides a well written account of the theoretical foundations and it also includes a chapter on cryptography. End of chapter problems help readers with accessing the subjects.
Автор: Gille, Philippe Szamuely, Tamas Название: Central simple algebras and galois cohomology ISBN: 131660988X ISBN-13(EAN): 9781316609880 Издательство: Cambridge Academ Рейтинг: Цена: 7128.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The first comprehensive, modern introduction to a central field in modern algebra with connections to algebraic geometry, K-theory, and number theory. It proceeds from the basics to more advanced results, including the Merkurjev-Suslin theorem. It is ideal as a text for a graduate course and as a reference for researchers.
Описание: Chapter 1. Vector Space.- Chapter 2. Matrices and Linear Equations.- Chapter 3. Linear Transformations.- Chapter 4. Inner Product Space.- Chapter 5. Determinants and Forms.- Chapter 6. Canonical Forms, Jordan and Rational Forms.- Chapter 7. General Linear Algebra.- Chapter 8. Field Theory, Galois Theory.- Chapter 9. Representation Theory of Finite Groups.- Chapter 10.Group Extensions and Schur Multiplier.
Автор: Philippe Gille, Tamas Szamuely Название: Central Simple Algebras and Galois Cohomology ISBN: 1107156378 ISBN-13(EAN): 9781107156371 Издательство: Cambridge Academ Рейтинг: Цена: 12197.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The first comprehensive, modern introduction to a central field in modern algebra with connections to algebraic geometry, K-theory, and number theory. It proceeds from the basics to more advanced results, including the Merkurjev-Suslin theorem. It is ideal as a text for a graduate course and as a reference for researchers.
Автор: Futorny Vyacheslav, Ovsienko Serge Название: Galois Algebras And Their Representations ISBN: 9814299227 ISBN-13(EAN): 9789814299220 Издательство: World Scientific Publishing Цена: 11246.00 р. Наличие на складе: Поставка под заказ.
Описание: The book provides a comprehensive overview of the theory of Galois algebras and their representations developed by the authors. It gives a unique treatment of the theory of Gelfand-Tsetlin modules for finite W-algebras, including the universal enveloping algebra of gl(n), a new treatment of an analog of the Gelfand-Kirillov Conjecture for finite W-algebras, and a description of important new theory of Galois algebras.The book will be of interests to those who specialize in Lie theory, Representation theory and Ring theory.
Автор: Askold Khovanskii; Vladlen Timorin; Valentina Kiri Название: Topological Galois Theory ISBN: 3662506025 ISBN-13(EAN): 9783662506028 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book describes classic and new results on solvability and unsolvability of equations in explicit form, presenting the author`s complete exposition of topological Galois theory, plus basics of the Picard-Vessiot theory and a great deal more.
Автор: Sinha Rajnikant Название: Galois Theory and Advanced Linear Algebra ISBN: 9811398488 ISBN-13(EAN): 9789811398483 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book discusses major topics in Galois theory and advanced linear algebra, including canonical forms.
Автор: Tignol Jean-Pierre Название: Galois` Theory Of Algebraic Equations (Second Edition) ISBN: 9814704695 ISBN-13(EAN): 9789814704694 Издательство: World Scientific Publishing Рейтинг: Цена: 10296.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
The book gives a detailed account of the development of the theory of algebraic equations, from its origins in ancient times to its completion by Galois in the nineteenth century. The appropriate parts of works by Cardano, Lagrange, Vandermonde, Gauss, Abel, and Galois are reviewed and placed in their historical perspective, with the aim of conveying to the reader a sense of the way in which the theory of algebraic equations has evolved and has led to such basic mathematical notions as "group" and "field".
A brief discussion of the fundamental theorems of modern Galois theory and complete proofs of the quoted results are provided, and the material is organized in such a way that the more technical details can be skipped by readers who are interested primarily in a broad survey of the theory.
In this second edition, the exposition has been improved throughout and the chapter on Galois has been entirely rewritten to better reflect Galois' highly innovative contributions. The text now follows more closely Galois' memoir, resorting as sparsely as possible to anachronistic modern notions such as field extensions. The emerging picture is a surprisingly elementary approach to the solvability of equations by radicals, and yet is unexpectedly close to some of the most recent methods of Galois theory.
Автор: Hachenberger Dirk, Jungnickel Dieter Название: Topics in Galois Fields ISBN: 3030608042 ISBN-13(EAN): 9783030608040 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Basic Algebraic Structures and Elementary Number Theory.- Basics on Polynomials- Field Extensions and the Basic Theory of Galois Fields.- The Algebraic Closure of a Galois Field.- Irreducible Polynomials over Finite Fields.- Factorization of Univariate Polynomials over Finite Fields.- Matrices over Finite Fields.- Basis Representations and Arithmetics.- Shift Register Sequences.- Characters, Gauss Sums, and the DFT.- Normal Bases and Cyclotomic Modules.- Complete Normal Bases and Generalized Cyclotomic Modules.- Primitive Normal Bases.- Primitive Elements in Affin Hyperplanes.- List of Symbols.- References.- Index.
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