Real Spinorial Groups A Short Mathematical Introduction /
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 axiomat...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham :
Springer International Publishing,
2018.
|
| Edition: | 1st ed. 2018. |
| Series: | SpringerBriefs in Mathematics,
|
| Subjects: | |
| ISBN: | 9783030004040 |
| ISSN: | 2191-8198 |
| Online Access: |
|
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 003 | SK-BrCVT | ||
| 005 | 20220618102702.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 181122s2018 gw | s |||| 0|eng d | ||
| 020 | |a 9783030004040 | ||
| 024 | 7 | |a 10.1007/978-3-030-00404-0 |2 doi | |
| 035 | |a CVTIDW13389 | ||
| 040 | |a Springer-Nature |b eng |c CVTISR |e AACR2 | ||
| 041 | |a eng | ||
| 100 | 1 | |a Xambó-Descamps, Sebastià. |4 aut | |
| 245 | 1 | 0 | |a Real Spinorial Groups |h [electronic resource] : |b A Short Mathematical Introduction / |c by Sebastià Xambó-Descamps. |
| 250 | |a 1st ed. 2018. | ||
| 260 | 1 | |a Cham : |b Springer International Publishing, |c 2018. | |
| 300 | |a X, 151 p. 11 illus., 1 illus. in color. |b online resource. | ||
| 490 | 1 | |a SpringerBriefs in Mathematics, |x 2191-8198 | |
| 500 | |a Mathematics and Statistics | ||
| 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. | |
| 516 | |a text file PDF | ||
| 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. | ||
| 650 | 0 | |a Geometry. | |
| 650 | 0 | |a Group theory. | |
| 650 | 0 | |a Physics. | |
| 856 | 4 | 0 | |u http://hanproxy.cvtisr.sk/han/cvti-ebook-springer-eisbn-978-3-030-00404-0 |y Vzdialený prístup pre registrovaných používateľov |
| 910 | |b ZE10669 | ||
| 919 | |a 978-3-030-00404-0 | ||
| 974 | |a andrea.lebedova |f Elektronické zdroje | ||
| 992 | |a SUD | ||
| 999 | |c 242024 |d 242024 | ||