Real spinorial groups : a short mathematical introduction / Sebastià Xambó-Descamps.

Unlimited

Authorized users

Can lend chapters, not whole ebooks

Real spinorial groups : a short mathematical introduction / Sebastià Xambó-Descamps.

9783030004040 (electronic book)
303000404X (electronic book)
9783030004033

Cham, Switzerland : Springer, [2018]

English

1 online resource.

QA564

516.35

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.-- Provided by publisher.

Includes bibliographical references.

Access limited to authorized users.

Online resource; title from PDF title page (viewed November 30, 2018).

SpringerBriefs in mathematics.

Online Resources > Ebooks
All Resources