Smooth Quasigroups and Loops
by Lev V. Sabinin
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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| Edition | Availability |
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1
Smooth Quasigroups and Loops
1999, Springer Netherlands
electronic resource /
in English
9401059217 9789401059213
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| September 29, 2024 | Edited by MARC Bot | import existing book |
| July 7, 2019 | Created by MARC Bot | import new book |