ABSTRACT

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,

chapter 1|34 pages

QUASIGROUPS AND LOOPS

chapter 2|26 pages

MULTIPLICATION GROUPS

chapter 3|32 pages

CENTRAL QUASIGROUPS

chapter 4|20 pages

HOMOGENEOUS SPACES

chapter 5|26 pages

PERMUTATION REPRESENTATIONS

chapter 6|30 pages

CHARACTER TABLES

chapter 7|30 pages

COMBINATORIAL CHARACTER THEORY

chapter 8|26 pages

SCHEMES AND SUPERSCHEMES

chapter 9|20 pages

PERMUTATION CHARACTERS

chapter 10|20 pages

MODULES

chapter 11|20 pages

APPLICATIONS OF MODULE THEORY

chapter 12|22 pages

ANALYTICAL CHARACTER THEORY