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

• Autore: Xambó-Descamps Sebastià
• 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
• Serie: SpringerBriefs in Mathematics, . 2191-8198