EAN: 9783030004033

SPRINGERBRIEFS IN MATHEMATICS REAL SPINORIAL ...

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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