Lectures On Division Algebras

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Lectures On Division Algebras

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Author : David J. Saltman
language : en
Publisher: American Mathematical Soc.
Release Date :

Lectures On Division Algebras written by David J. Saltman and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.

This volume is based on lectures on division algebras given at a conference held at Colorado State University. Although division algebras are a very classical object, this book presents this "classical" material in a new way, highlighting current approaches and new theorems, and illuminating the connections with a variety of areas in mathematics.

Lectures On Division Algebras

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Author : David J. Saltman
language : en
Publisher: American Mathematical Soc.
Release Date : 1999

Lectures On Division Algebras written by David J. Saltman and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.

This volume is based on lectures on division algebras given at a conference held at Colorado State University. Although division algebras are a very classical object, this book presents this ""classical"" material in a new way, highlighting current approaches and new theorems, and illuminating the connections with a variety of areas in mathematics.

Lectures On Clifford Geometric Algebras And Applications

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Author : Rafal Ablamowicz
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-28

Lectures On Clifford Geometric Algebras And Applications written by Rafal Ablamowicz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-28 with Mathematics categories.

The subject of Clifford (geometric) algebras offers a unified algebraic framework for the direct expression of the geometric concepts in algebra, geometry, and physics. This bird's-eye view of the discipline is presented by six of the world's leading experts in the field; it features an introductory chapter on Clifford algebras, followed by extensive explorations of their applications to physics, computer science, and differential geometry. The book is ideal for graduate students in mathematics, physics, and computer science; it is appropriate both for newcomers who have little prior knowledge of the field and professionals who wish to keep abreast of the latest applications.

Finite Dimensional Division Algebras Over Fields

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Author : Nathan Jacobson
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-12-09

Finite Dimensional Division Algebras Over Fields written by Nathan Jacobson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-09 with Mathematics categories.

Here, the eminent algebraist, Nathan Jacobsen, concentrates on those algebras that have an involution. Although they appear in many contexts, these algebras first arose in the study of the so-called "multiplication algebras of Riemann matrices". Of particular interest are the Jordan algebras determined by such algebras, and thus their structure is discussed in detail. Two important concepts also dealt with are the universal enveloping algebras and the reduced norm. However, the largest part of the book is the fifth chapter, which focuses on involutorial simple algebras of finite dimension over a field.

Separable Algebras

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Author : Timothy J. Ford
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-09-26

Separable Algebras written by Timothy J. Ford and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-26 with Mathematics categories.

This book presents a comprehensive introduction to the theory of separable algebras over commutative rings. After a thorough introduction to the general theory, the fundamental roles played by separable algebras are explored. For example, Azumaya algebras, the henselization of local rings, and Galois theory are rigorously introduced and treated. Interwoven throughout these applications is the important notion of étale algebras. Essential connections are drawn between the theory of separable algebras and Morita theory, the theory of faithfully flat descent, cohomology, derivations, differentials, reflexive lattices, maximal orders, and class groups. The text is accessible to graduate students who have finished a first course in algebra, and it includes necessary foundational material, useful exercises, and many nontrivial examples.

Proceedings Of The Third International Algebra Conference

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Author : Yuen Fong
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11

Proceedings Of The Third International Algebra Conference written by Yuen Fong and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.

This volume contains one invited lecture which was presented by the 1994 Fields Medal ist Professor E. Zelmanov and twelve other papers which were presented at the Third International Conference on Algebra and Their Related Topics at Chang Jung Christian University, Tainan, Republic of China, during the period June 26-July 1, 200l. All papers in this volume have been refereed by an international referee board and we would like to express our deepest thanks to all the referees who were so helpful and punctual in submitting their reports. Thanks are also due to the Promotion and Research Center of National Science Council of Republic of China and the Chang Jung Christian University for their generous financial support of this conference. The spirit of this conference is a continuation of the last two International Tainan Moscow Algebra Workshop on Algebras and Their Related Topics which were held in the mid-90's of the last century. The purpose of this very conference was to give a clear picture of the recent development and research in the fields of different kinds of algebras both in Taiwan and in the rest ofthe world, especially say, Russia" Europe, North America and South America. Thus, we were hoping to enhance the possibility of future cooperation in research work among the algebraists ofthe five continents. Here we would like to point out that this algebra gathering will constantly be held in the future in the southern part of Taiwan.

Value Functions On Simple Algebras And Associated Graded Rings

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Author : Jean-Pierre Tignol
language : en
Publisher: Springer
Release Date : 2015-04-03

Value Functions On Simple Algebras And Associated Graded Rings written by Jean-Pierre Tignol and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-03 with Mathematics categories.

This monograph is the first book-length treatment of valuation theory on finite-dimensional division algebras, a subject of active and substantial research over the last forty years. Its development was spurred in the last decades of the twentieth century by important advances such as Amitsur's construction of non crossed products and Platonov's solution of the Tannaka-Artin problem. This study is particularly timely because it approaches the subject from the perspective of associated graded structures. This new approach has been developed by the authors in the last few years and has significantly clarified the theory. Various constructions of division algebras are obtained as applications of the theory, such as noncrossed products and indecomposable algebras. In addition, the use of valuation theory in reduced Whitehead group calculations (after Hazrat and Wadsworth) and in essential dimension computations (after Baek and Merkurjev) is showcased. The intended audience consists of graduate students and research mathematicians.

K Theory And Algebraic Geometry Connections With Quadratic Forms And Division Algebras

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Author : Bill Jacob
language : en
Publisher: American Mathematical Soc.
Release Date : 1995

K Theory And Algebraic Geometry Connections With Quadratic Forms And Division Algebras written by Bill Jacob and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.

Volume 2 of two - also available in a set of both volumes.

Algebra And Number Theory

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Author : Rajat Tandon
language : en
Publisher: Springer
Release Date : 2005-05-01

Algebra And Number Theory written by Rajat Tandon and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-05-01 with Mathematics categories.

Contributed articles presented at the Conference.

Handbook Of Algebra

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Author : M. Hazewinkel
language : en
Publisher: Elsevier
Release Date : 2000-04-06

Handbook Of Algebra written by M. Hazewinkel and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-04-06 with Mathematics categories.

Handbook of Algebra