Topics in Galois Fields, Hachenberger Dirk, Jungnickel Dieter
Автор: Kibler, Maurice (institut De Physique Nucleгївївѕ Aire Universiteгївївѕ Claude Bernard Lyon, France) Название: Galois fields and galois rings made easy ISBN: 1785482351 ISBN-13(EAN): 9781785482359 Издательство: Elsevier Science Рейтинг: Цена: 17348.00 р. Наличие на складе: Поставка под заказ.
Описание: This book constitutes an elementary introduction to rings and fields, in particular Galois rings and Galois fields, with regard to their application to the theory of quantum information, a field at the crossroads of quantum physics, discrete mathematics and informatics.The existing literature on rings and fields is primarily mathematical. There are a great number of excellent books on the theory of rings and fields written by and for mathematicians, but these can be difficult for physicists and chemists to access. This book offers an introduction to rings and fields with numerous examples. It contains an application to the construction of mutually unbiased bases of pivotal importance in quantum information. It is intended for graduate and undergraduate students and researchers in physics, mathematical physics and quantum chemistry (especially in the domains of advanced quantum mechanics, quantum optics, quantum information theory, classical and quantum computing, and computer engineering). Although the book is not written for mathematicians, given the large number of examples discussed, it may also be of interest to undergraduate students in mathematics.
Автор: Van der Put Marius , Singer Michael F. Название: Galois Theory of Linear Differential Equations ISBN: 3540442286 ISBN-13(EAN): 9783540442288 Издательство: Springer Рейтинг: Цена: 13969.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Linear differential equations form the central topic of this volume, Galois theory being the unifying theme.A large number of aspects are presented: algebraic theory especially differential Galois theory, formal theory, classification, algorithms to decide solvability in finite terms, monodromy and Hilbert's 21st problem, asymptotics and summability, the inverse problem and linear differential equations in positive characteristic. The appendices aim to help the reader with concepts used, from algebraic geometry, linear algebraic groups, sheaves, and tannakian categories that are used. This volume will become a standard reference for all mathematicians in this area of mathematics, including graduate students.
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: Wan Zhe-Xian Название: Finite Fields And Galois Rings ISBN: 981436634X ISBN-13(EAN): 9789814366342 Издательство: World Scientific Publishing Рейтинг: Цена: 10296.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Suitable for graduate and upper level undergraduate students in mathematics, communication engineering, computer science and other fields as well as for specialists, this book emphasizes explicit construction and computation of finite fields. It includes the construction of irreducible polynomials and normal basis of finite field.
Автор: David Harari, Harari Название: Galois cohomology and class field theory ISBN: 3030439003 ISBN-13(EAN): 9783030439002 Издательство: Springer Рейтинг: Цена: 7685.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Local fields and local class field theory, including Lubin-Tate formal group laws, are covered next, followed by global class field theory and the description of abelian extensions of global fields.
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: Volklein Helmut, Thompson J. G., Volklein H. Название: Aspects of Galois Theory ISBN: 0521637473 ISBN-13(EAN): 9780521637473 Издательство: Cambridge Academ Рейтинг: Цена: 8710.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book comprises a collection of papers from a conference on Galois theory, bringing together articles from leading experts in the field. Topics are centred around the Inverse Galois Problem, covering the full range of methods and approaches in this area. Invaluable for all whose research involves Galois theory.
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