Smooth Quasigroups and Loops
By: by Lev V. Sabinin
Series: Mathematics and Its Applications -- 492; Mathematics and Its Applications -- 492
Publisher: Springer Netherlands
Published: 1999
Place of publication: Dordrecht
Language: eng
Format: [electronic resource] /
Number of pages: 249
ISBN-13: 9789401059213; 9789401144919
Subjects: Group theory; Mathematics; Global differential geometry; Geometry; Number theory
Description: 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.
Notes: Online full text is restricted to subscribers.

Also available in print.

Mode of access: World Wide Web.