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Real spinorial groupsa short mathema...

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Real spinorial groupsa short mathematical introduction /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Real spinorial groupsby Sebastia Xambo-Descamps.
Reminder of title:	a short mathematical introduction /
Author:	Xambo-Descamps, Sebastia.
Published:	Cham :Springer International Publishing :2018.
Description:	x, 151 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Spinor analysis.
Online resource:	https://doi.org/10.1007/978-3-030-00404-0
ISBN:	9783030004040$q(electronic bk.)

Real spinorial groupsa short mathematical introduction /
Xambo-Descamps, Sebastia.

Real spinorial groupsa short mathematical introduction /[electronic resource] :by Sebastia Xambo-Descamps. - Cham :Springer International Publishing :2018. - x, 151 p. :ill., digital ;24 cm. - SpringerBriefs in mathematics,2191-8198. - SpringerBriefs in mathematics..

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.

ISBN: 9783030004040$q(electronic bk.)

Standard No.: 10.1007/978-3-030-00404-0doiSubjects--Topical Terms:

231060
Spinor analysis.

LC Class. No.: QA564 / .X363 2018

Dewey Class. No.: 516.35

Real spinorial groupsa short mathematical introduction /
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245 1 0 $a Real spinorial groups $h [electronic resource] : $b a short mathematical introduction / $c by Sebastia Xambo-Descamps.
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300 $a x, 151 p. : $b ill., digital ; $c 24 cm.
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505 0 $a 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.
520 $a 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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