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Autore: | Xambó-Descamps Sebastià |
Titolo: | Real Spinorial Groups : A Short Mathematical Introduction / / by Sebastià Xambó-Descamps |
Pubblicazione: | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 |
Edizione: | 1st ed. 2018. |
Descrizione fisica: | 1 online resource (x, 131 pages) |
Disciplina: | 515.63 |
Soggetto topico: | Geometry |
Group theory | |
Physics | |
Group Theory and Generalizations | |
Mathematical Methods in Physics | |
Nota di contenuto: | Chapter 1- Mathematical background -- Chapter 2- Grassmann algebra -- Chapter 3- Geometric Algebra -- Chapter 4- Orthogonal geometry with GA -- Chapter 5- Zooming in on rotor groups -- Chapter 6- Postfaces -- References. |
Sommario/riassunto: | 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. |
Titolo autorizzato: | Real Spinorial Groups |
ISBN: | 3-030-00404-X |
Formato: | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 9910300126303321 |
Lo trovi qui: | Univ. Federico II |
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