Real Spinorial Groups : A Short Mathematical Introduction Paperback / softback
by Sebastia Xambo-Descamps
Part of the SpringerBriefs in Mathematics series
Paperback / softback
Description
This book explores the Lipschitz spinorial groups (versor, pinor, spinor and rotor groups) of a real non-degenerate orthogonal geometry (or orthogonal geometry, for short) and how they relate to the group of isometries of that geometry. After a concise mathematical introduction, it offers an axiomatic presentation of the geometric algebra of an orthogonal geometry.
Once it has established the language of geometric algebra (linear grading of the algebra; geometric, exterior and interior products; involutions), it defines the spinorial groups, demonstrates their relation to the isometry groups, and illustrates their suppleness (geometric covariance) with a variety of examples.
Lastly, the book provides pointers to major applications, an extensive bibliography and an alphabetic index. Combining the characteristics of a self-contained research monograph and a state-of-the-art survey, this book is a valuable foundation reference resource on applications for both undergraduate and graduate students.
Information
-
Out of stock
- Format:Paperback / softback
- Pages:151 pages, 1 Illustrations, color; 10 Illustrations, black and white; X, 151 p. 11 illus., 1 illus.
- Publisher:Springer Nature Switzerland AG
- Publication Date:29/11/2018
- Category:
- ISBN:9783030004033
Information
-
Out of stock
- Format:Paperback / softback
- Pages:151 pages, 1 Illustrations, color; 10 Illustrations, black and white; X, 151 p. 11 illus., 1 illus.
- Publisher:Springer Nature Switzerland AG
- Publication Date:29/11/2018
- Category:
- ISBN:9783030004033
