ENGLISH

Smooth quasigroups and loops

By L. Sabinin

Book information

Publisher
Springer
Year
1999
ISBN
0792359208, 9780792359203
LCC
QA174.2 .S23 1999
Open Library ID
OL11152269M
Language
english
Format
DJVU
Filesize
2 MB (2606372 bytes)
Series
Mathematics and Its Applications
Edition
1st
Pages
257\257
Library
Kolxo3
DPI
600
Time added
2009-07-20 03:45:11

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.

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