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portada Real Spinorial Groups: A Short Mathematical Introduction (Springerbriefs in Mathematics)
Type
Physical Book
Publisher
Author
Year
2018
Language
English
Pages
164
Format
Paperback
ISBN13
9783030004033
Edition No.
2018
Categories

Real Spinorial Groups: A Short Mathematical Introduction (Springerbriefs in Mathematics)

Sebastià Xambó-Descamps (Author) · Springer · Paperback

Real Spinorial Groups: A Short Mathematical Introduction (Springerbriefs in Mathematics) - Sebastià Xambó-Descamps

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Synopsis "Real Spinorial Groups: A Short Mathematical Introduction (Springerbriefs in Mathematics)"

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.

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