An Introduction To Clifford Algebras And Spinors
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An Introduction to Clifford Algebras and Spinors
Author | : Jayme Vaz Jr.,Roldão da Rocha Jr. |
Publsiher | : Oxford University Press |
Total Pages | : 257 |
Release | : 2016 |
Genre | : Mathematics |
ISBN | : 9780198782926 |
Download An Introduction to Clifford Algebras and Spinors Book in PDF, Epub and Kindle
This work 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.
An Introduction to Clifford Algebras and Spinors
Author | : Jayme Vaz Jr.,Roldão da Rocha Jr. |
Publsiher | : Unknown |
Total Pages | : 242 |
Release | : 2016 |
Genre | : MATHEMATICS |
ISBN | : 0191826146 |
Download An Introduction to Clifford Algebras and Spinors Book in PDF, Epub and Kindle
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 and Spinors
Author | : Pertti Lounesto |
Publsiher | : Cambridge University Press |
Total Pages | : 352 |
Release | : 2001-05-03 |
Genre | : Mathematics |
ISBN | : 9780521005517 |
Download Clifford Algebras and Spinors Book in PDF, Epub and Kindle
This is the second edition of a popular work offering a unique introduction to Clifford algebras and spinors. The beginning 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 edition has three new chapters, including material on conformal invariance and a history of Clifford algebras.
An Introduction to Clifford Algebras and Spinors
Author | : Roldao da Rocha, Jr.,Roldão da Rocha Jr. |
Publsiher | : Oxford University Press, USA |
Total Pages | : 256 |
Release | : 2019 |
Genre | : Clifford algebras |
ISBN | : 0198836287 |
Download An Introduction to Clifford Algebras and Spinors Book in PDF, Epub and Kindle
This book provides a unique pedagogical introduction to clifford algebras, with a focus on spinors. It bridges the gap between mathematics and physics, merging both applications and the formal approach. It provides detailed worked examples throughout to help understand the ideas presented.
Spinors Clifford and Cayley Algebras
Author | : Robert Hermann |
Publsiher | : Math-Sci Press |
Total Pages | : 292 |
Release | : 1974 |
Genre | : Mathematics |
ISBN | : 0915692066 |
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Clifford Algebras An Introduction
Author | : D. J. H. Garling |
Publsiher | : Cambridge University Press |
Total Pages | : 209 |
Release | : 2011-06-23 |
Genre | : Mathematics |
ISBN | : 9781107096387 |
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A straightforward introduction to Clifford algebras, providing the necessary background material and many applications in mathematics and physics.
Clifford Algebras and Lie Theory
Author | : Eckhard Meinrenken |
Publsiher | : Springer Science & Business Media |
Total Pages | : 331 |
Release | : 2013-02-28 |
Genre | : Mathematics |
ISBN | : 9783642362163 |
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This monograph provides an introduction to the theory of Clifford algebras, with an emphasis on its connections with the theory of Lie groups and Lie algebras. The book starts with a detailed presentation of the main results on symmetric bilinear forms and Clifford algebras. It develops the spin groups and the spin representation, culminating in Cartan’s famous triality automorphism for the group Spin(8). The discussion of enveloping algebras includes a presentation of Petracci’s proof of the Poincaré–Birkhoff–Witt theorem. This is followed by discussions of Weil algebras, Chern--Weil theory, the quantum Weil algebra, and the cubic Dirac operator. The applications to Lie theory include Duflo’s theorem for the case of quadratic Lie algebras, multiplets of representations, and Dirac induction. The last part of the book is an account of Kostant’s structure theory of the Clifford algebra over a semisimple Lie algebra. It describes his “Clifford algebra analogue” of the Hopf–Koszul–Samelson theorem, and explains his fascinating conjecture relating the Harish-Chandra projection for Clifford algebras to the principal sl(2) subalgebra. Aside from these beautiful applications, the book will serve as a convenient and up-to-date reference for background material from Clifford theory, relevant for students and researchers in mathematics and physics.
The algebraic theory of spinors and Clifford algebras
Author | : Claude Chevalley |
Publsiher | : Unknown |
Total Pages | : 236 |
Release | : 1997 |
Genre | : Mathematics |
ISBN | : UCSD:31822023952575 |
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Volume 2.