Smooth Quasigroups and Loops /
This monograph presents the complete theory of smooth quasigroups and loops, as well as its geometric and algebraic applications. Based on a generalisation of the Lie-group theory, it establishes new backgrounds for differential geometry in the form of nonlinear geometric algebra and `loopuscular�...
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| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht :
Springer Netherlands,
1999.
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| Series: | Mathematics and its applications ;
492. |
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| Online Access: | Connect to the full text of this electronic book |
| Summary: | This monograph presents the complete theory of smooth quasigroups and loops, as well as its geometric and algebraic applications. Based on a generalisation of the Lie-group theory, it establishes new backgrounds for differential geometry in the form of nonlinear geometric algebra and `loopuscular' geometry. It will prove useful in applications in such diverse fields as mathematical physics, relativity, Poisson and symplectic mechanics, quantum gravity, dislocation theory, etc. Audience: This volume will be of interest to researchers, lecturers and postgraduate students whose work involves geometry, group theory, nonassociative rings and algebras, and mathematical and theoretical physics. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (xvi, 249 pages) |
| ISBN: | 9789401144919 (electronic bk.) 9401144915 (electronic bk.) |