Clifford Algebras and the Classical Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Clifford Algebras and the Classical Groups write by Ian R. Porteous. This book was released on 1995-10-05. Clifford Algebras and the Classical Groups available in PDF, EPUB and Kindle. 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
Groups and Characters - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Groups and Characters write by Larry C. Grove. This book was released on 2011-09-26. Groups and Characters available in PDF, EPUB and Kindle. An authoritative, full-year course on both group theory and ordinary character theory--essential tools for mathematics and the physical sciences One of the few treatments available combining both group theory and character theory, Groups and Characters is an effective general textbook on these two fundamentally connected subjects. Presuming only a basic knowledge of abstract algebra as in a first-year graduate course, the text opens with a review of background material and then guides readers carefully through several of the most important aspects of groups and characters, concentrating mainly on finite groups. Challenging yet accessible, Groups and Characters features: * An extensive collection of examples surveying many different types of groups, including Sylow subgroups of symmetric groups, affine groups of fields, the Mathieu groups, and symplectic groups * A thorough, easy-to-follow discussion of Polya-Redfield enumeration, with applications to combinatorics * Inclusive explorations of the transfer function and normal complements, induction and restriction of characters, Clifford theory, characters of symmetric and alternating groups, Frobenius groups, and the Schur index * Illuminating accounts of several computational aspects of group theory, such as the Schreier-Sims algorithm, Todd-Coxeter coset enumeration, and algorithms for generating character tables As valuable as Groups and Characters will prove as a textbook for mathematicians, it has broader applications. With chapters suitable for use as independent review units, along with a full bibliography and index, it will be a dependable general reference for chemists, physicists, and crystallographers.
Quaternions, Clifford Algebras and Relativistic Physics
Quaternions, Clifford Algebras and Relativistic Physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Quaternions, Clifford Algebras and Relativistic Physics write by Patrick R. Girard. This book was released on 2007-06-25. Quaternions, Clifford Algebras and Relativistic Physics available in PDF, EPUB and Kindle. 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.
Clifford Algebras: An Introduction
Clifford Algebras: An Introduction - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Clifford Algebras: An Introduction write by D. J. H. Garling. This book was released on 2011-06-23. Clifford Algebras: An Introduction available in PDF, EPUB and Kindle. A straightforward introduction to Clifford algebras, providing the necessary background material and many applications in mathematics and physics.
An Introduction to Clifford Algebras and Spinors
An Introduction to Clifford Algebras and Spinors - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to Clifford Algebras and Spinors write by Jayme Vaz Jr.. This book was released on 2016. An Introduction to Clifford Algebras and Spinors available 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.
