Real Spinorial Groups

Released on by Sebastià Xambó-Descamps
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  • Real Spinorial Groups Book Detail

  • Author : Sebastià Xambó-Descamps
  • Release Date : 2018-11-22
  • Publisher : Springer
  • Genre : Mathematics
  • Pages : 157
  • ISBN 13 : 303000404X
  • File Size : 23,23 MB
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Real Spinorial Groups by Sebastià Xambó-Descamps PDF Summary

Book Description: 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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