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Real Spinorial Groups : A Short Mathematical Introduction / by Sebastià Xambó-Descamps
(SpringerBriefs in Mathematics. ISSN:21918201)
Edition | 1st ed. 2018. |
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Publisher | (Cham : Springer International Publishing : Imprint: Springer) |
Year | 2018 |
Size | X, 151 p. 11 illus., 1 illus. in color : online resource |
Authors | *Xambó-Descamps, Sebastià author SpringerLink (Online service) |
Subjects | LCSH:Geometry LCSH:Group theory LCSH:Mathematical physics FREE:Geometry FREE:Group Theory and Generalizations FREE:Mathematical Methods in Physics |
Notes | 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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E-Book | Location | Media type | Volume | Call No. | Status | Reserve | Comments | ISBN | Printed | Restriction | Designated Book | Barcode No. |
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E-Book | オンライン | 電子ブック |
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Springer eBooks | 9783030004040 |
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電子リソース |
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EB00199257 |
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