Clifford Algebras And The Classical Groups

DOWNLOAD

Download Clifford Algebras And The Classical Groups PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Clifford Algebras And The Classical Groups book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page

Clifford Algebras And The Classical Groups

DOWNLOAD
Author : Ian R. Porteous
language : en
Publisher: Cambridge University Press
Release Date : 1995-10-05

Clifford Algebras And The Classical Groups written by Ian R. Porteous and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-10-05 with Mathematics categories.

The Clifford algebras of real quadratic forms and their complexifications are studied here in detail, and those parts which are immediately relevant to theoretical physics are seen in the proper broad context. Central to the work is the classification of the conjugation and reversion anti-involutions that arise naturally in the theory. It is of interest that all the classical groups play essential roles in this classification. Other features include detailed sections on conformal groups, the eight-dimensional non-associative Cayley algebra, its automorphism group, the exceptional Lie group G(subscript 2), and the triality automorphism of Spin 8. The book is designed to be suitable for the last year of an undergraduate course or the first year of a postgraduate course.

Groups And Characters

DOWNLOAD
Author : Larry C. Grove
language : en
Publisher: Wiley-Interscience
Release Date : 1997-06-16

Groups And Characters written by Larry C. Grove and has been published by Wiley-Interscience this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-06-16 with Mathematics categories.

Grove combines group theory and ordinary character theory in this challenging, self-contained textbook which include many exercises as well as an entire chapter devoted to important and fully detailed examples.

Quaternions Clifford Algebras And Relativistic Physics

DOWNLOAD
Author : Patrick R. Girard
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-06-25

Quaternions Clifford Algebras And Relativistic Physics written by Patrick R. Girard 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 2007-06-25 with Mathematics categories.

The use of Clifford algebras in mathematical physics and engineering has grown rapidly in recent years. Whereas other developments have privileged a geometric approach, this book uses an algebraic approach that can be introduced as a tensor product of quaternion algebras and provides a unified calculus for much of physics. It proposes a pedagogical introduction to this new calculus, based on quaternions, with applications mainly in special relativity, classical electromagnetism, and general relativity.

Classical Groups And Geometric Algebra

DOWNLOAD
Author : Larry C. Grove
language : en
Publisher: American Mathematical Soc.
Release Date : 2002

Classical Groups And Geometric Algebra written by Larry C. Grove 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 2002 with Mathematics categories.

A graduate-level text on the classical groups: groups of matrices, or (more often) quotients of matrix groups by small normal subgroups. It pulls together into a single source the basic facts about classical groups defined over fields, together with the required geometrical background information, from first principles. The chief prerequisites are basic linear algebra and abstract algebra, including fundamentals of group theory and some Galois Theory. The author teaches at the U. of Arizona. c. Book News Inc.

Clifford Algebras

DOWNLOAD
Author : Rafal Ablamowicz
language : en
Publisher: Birkhäuser
Release Date : 2003-12-04

Clifford Algebras written by Rafal Ablamowicz and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-04 with Mathematics categories.

The invited papers in this volume provide a detailed examination of Clifford algebras and their significance to analysis, geometry, mathematical structures, physics, and applications in engineering. While the papers collected in this volume require that the reader possess a solid knowledge of appropriate background material, they lead to the most current research topics. With its wide range of topics, well-established contributors, and excellent references and index, this book will appeal to graduate students and researchers.

Geometric Differentiation

DOWNLOAD
Author : I. R. Porteous
language : en
Publisher: Cambridge University Press
Release Date : 2001-12-13

Geometric Differentiation written by I. R. Porteous and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-12-13 with Mathematics categories.

This is a revised version of the popular Geometric Differentiation, first edition.

Clifford Algebras And Spinors

DOWNLOAD
Author : Pertti Lounesto
language : en
Publisher: Cambridge University Press
Release Date : 2001-05-03

Clifford Algebras And Spinors written by Pertti Lounesto and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-05-03 with Mathematics categories.

In this book, Professor Lounesto offers a unique introduction to Clifford algebras and spinors. The initial chapters could be read by undergraduates; vectors, complex numbers and quaternions are introduced with an eye on Clifford algebras. The next chapters will also interest physicists, and include treatments of the quantum mechanics of the electron, electromagnetism and special relativity with a flavour of Clifford algebras. This book also gives the first comprehensive survey of recent research on Clifford algebras. A new classification of spinors is introduced, based on bilinear covariants of physical observables. This reveals a new class of spinors, residing between the Weyl, Majorana and Dirac spinors. Scalar products of spinors are classified by involutory anti-automorphisms of Clifford algebras. This leads to the chessboard of automorphism groups of scalar products of spinors. On the analytic side, Brauer-Wall groups and Witt rings are discussed, and Caucy's integral formula is generalized to higher dimensions.

Clifford Algebra To Geometric Calculus

DOWNLOAD
Author : David Hestenes
language : en
Publisher: Springer Science & Business Media
Release Date : 1984

Clifford Algebra To Geometric Calculus written by David Hestenes 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 1984 with Mathematics categories.

Matrix algebra has been called "the arithmetic of higher mathematics" [Be]. We think the basis for a better arithmetic has long been available, but its versatility has hardly been appreciated, and it has not yet been integrated into the mainstream of mathematics. We refer to the system commonly called 'Clifford Algebra', though we prefer the name 'Geometric Algebra' suggested by Clifford himself. Many distinct algebraic systems have been adapted or developed to express geometric relations and describe geometric structures. Especially notable are those algebras which have been used for this purpose in physics, in particular, the system of complex numbers, the quaternions, matrix algebra, vector, tensor and spinor algebras and the algebra of differential forms. Each of these geometric algebras has some significant advantage over the others in certain applications, so no one of them provides an adequate algebraic structure for all purposes of geometry and physics. At the same time, the algebras overlap considerably, so they provide several different mathematical representations for individual geometrical or physical ideas.

An Introduction To Clifford Algebras And Spinors

DOWNLOAD
Author : Jayme Vaz Jr.
language : en
Publisher: Oxford University Press
Release Date : 2016

An Introduction To Clifford Algebras And Spinors written by Jayme Vaz Jr. and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Mathematics categories.

This book is unique compared to the existing literature. It is very didactical and accessible to both students and researchers, without neglecting the formal character and the deep algebraic completeness of the topic along with its physical applications.

Clifford Algebras An Introduction

DOWNLOAD
Author : D. J. H. Garling
language : en
Publisher: Cambridge University Press
Release Date : 2011-06-23

Clifford Algebras An Introduction written by D. J. H. Garling and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-23 with Mathematics categories.

A straightforward introduction to Clifford algebras, providing the necessary background material and many applications in mathematics and physics.