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An Introduction to Central Simple Algebras and Their Applications to Wireless Communication (Mathematical Surveys and Monographs) - Tapa dura

Berhuy, Gregory; Oggier, Frederique

 
9780821849378: An Introduction to Central Simple Algebras and Their Applications to Wireless Communication (Mathematical Surveys and Monographs)
Tapa dura
ISBN 10: 0821849379 ISBN 13: 9780821849378
Editorial: American Mathematical Society, 2013

Sinopsis

Central simple algebras arise naturally in many areas of mathematics. They are closely connected with ring theory, but are also important in representation theory, algebraic geometry and number theory. Recently, surprising applications of the theory of central simple algebras have arisen in the context of coding for wireless communication. The exposition in the book takes advantage of this serendipity, presenting an introduction to the theory of central simple algebras intertwined with its applications to coding theory. Many results or constructions from the standard theory are presented in classical form, but with a focus on explicit techniques and examples, often from coding theory.

Topics covered include quaternion algebras, splitting fields, the Skolem-Noether Theorem, the Brauer group, crossed products, cyclic algebras and algebras with a unitary involution. Code constructions give the opportunity for many examples and explicit computations. This book provides an introduction to the theory of central algebras accessible to graduate students, while also presenting topics in coding theory for wireless communication for a mathematical audience. It is also suitable for coding theorists interested in learning how division algebras may be useful for coding in wireless communication.

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del autor

Gregory Berhuy, Universite Joseph Fourier, Grenoble, France

Frederique Oggier, Nanyang Technological University, Singapore, Singapore

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
American Mathematical Society
Año de publicación
2013
Idioma
Inglés
ISBN 10 
0821849379
ISBN 13 
9780821849378
Encuadernación
Tapa dura
Número de páginas
276
Contacto del fabricante
no disponible
Persona responsable
no disponible