Real Spinorial Groups
A Short Mathematical Introduction
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.
| Autor: | Xambó-Descamps, Sebastià |
|---|---|
| ISBN: | 9783030004033 |
| Sprache: | Englisch |
| Seitenzahl: | 151 |
| Produktart: | Kartoniert / Broschiert |
| Verlag: | Springer International Publishing |
| Veröffentlicht: | 29.11.2018 |
| Untertitel: | A Short Mathematical Introduction |
| Schlagworte: | geometric algebra geometric covariance orthogonal geometry orthogonal groups spinorial groups |
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