Real Spinorial Groups: A Short Mathematical Introduction

di Sebastià Xambó-Descamps (Autore)

Springer Nature Switzerland AG, 2018

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.

• Autore: Sebastià Xambó-Descamps
• Editore: Springer Nature Switzerland AG
• Collana: SpringerBriefs in Mathematics
• Anno: 2018
• Rilegatura: Paperback / softback
• Pagine: 151 p.
• Dimensioni: 235 x 155 mm
• EAN: 9783030004033

Testo in English