<p>During the last twenty-five years quite remarkable relations between nonasΒ sociative algebra and differential geometry have been discovered in our work. Such exotic structures of algebra as quasigroups and loops were obtained from purely geometric structures such as affinely connected spaces. Th
Quasigroups and loops: Introduction
β Scribed by Hala O. Pflugfelder
- Publisher
- Heldermann Verlag
- Year
- 1990
- Tongue
- English
- Leaves
- 155
- Series
- Sigma Serif's in Pure Mathematics, 7
- Category
- Library
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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' g
Collecting results scattered throughout the literature into one source, An Introduction to Quasigroups and Their Representations shows how representation theories for groups are capable of extending to general quasigroups and illustrates the added depth and richness that result from this extension.