Smooth Quasigroups and Loops
Lev V. Sabinin · 1999
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About the book
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.
Book details
- Year
- 1999
- Language
- English
- Series
- Mathematics and Its Applications -- 492
- Publisher
- Springer Netherlands
- Editions
- 1
- Pages
- 249
- ISBN
- 9789401059213
Data source: Wikidata
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