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＜電子ブック＞
Real Spinorial Groups : A Short Mathematical Introduction / by Sebastià Xambó-Descamps
(SpringerBriefs in Mathematics. ISSN:21918201)

版	1st ed. 2018.
出版者	Cham : Springer International Publishing : Imprint: Springer
出版年	2018
大きさ	X, 151 p. 11 illus., 1 illus. in color : online resource
著者標目	*Xambó-Descamps, Sebastià author SpringerLink (Online service)
件　名	LCSH:Geometry LCSH:Group theory LCSH:Mathematical physics FREE:Geometry FREE:Group Theory and Generalizations FREE:Mathematical Methods in Physics
一般注記	Chapter 1- Mathematical background -- Chapter 2- Grassmann algebra -- Chapter 3- Geometric Algebra -- Chapter 4- Orthogonal geometry with GA -- Chapter 5- Zooming in on rotor groups -- Chapter 6- Postfaces -- References 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 HTTP:URL=https://doi.org/10.1007/978-3-030-00404-0

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