Real Spinorial Groups : A Short Mathematical Introduction / Sebastià Xambó-Descamps

Von:

Xambó-Descamps, Sebastià, 1945- [VerfasserIn]

Resource type: Ressourcentyp: Buch (Online)Buch (Online)Sprache: Englisch Reihen: SpringerBriefs in Mathematics | Springer eBook Collection | SBMAC SpringerBriefs | SpringerLink BücherVerlag: Cham : Springer, [2018]Copyright-Datum: © 2018Beschreibung: Online-Ressource (X, 151 Seiten) : Illustrationen, DiagrammeISBN:

9783030004040

Schlagwörter:

Andere physische Formen: 9783030004033 | 9783030004057 | Erscheint auch als: 978-3-030-00403-3 Druck-AusgabeDDC-Klassifikation:

MSC: MSC: *15-02 | 15A66 | 15B10 | 15A75 | 20F99 | 81R25LOC-Klassifikation:

QA440-699

DOI: DOI: 10.1007/978-3-030-00404-0Online-Ressourcen:

Zusammenfassung: 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 studentsZusammenfassung: 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 -- ReferencesPPN: PPN: 1041331290Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS

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