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' 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.

שנה

1999

שפה

English

סדרה

Mathematics and Its Applications -- 492

הוצאה

Springer Netherlands

מהדורות

1

עמודים

249

ISBN

9789401059213

מקור הנתונים: Wikidata