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. To fully understand representation theory,

Quasigroups and Loops. Multiplications Groups. Central Quasigroups. Homogeneous Spaces. Permutation Representations. Character Tables. Combinatorial Character Theory. Schemes and Superschemes. Permutation Characters. Modules. Applications of Module Theory. Analytical Character Theory. Appendices. References. Index.