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Four lectures on quasigroup representations
Authors: J. D. H. Smith
– 0.38 Mb
Abstract
These are notes for lectures in the Workshops Loops'07 series, held at the Czech Agricultural University, Prague, 13 August -- 17 August, 2007. The initial lecture covers elementary topics and examples of quasigroups. The following lectures then introduce the three main branches of quasigroup representation theory: characters, permutation representations, and modules.Fulltext
– 0.38 Mb
Contents
- Advances in loop rings and their loops
- Central automorphisms of Latin square designs and loops
- Loops related to geometric structures
- Computing with small quasigroups and loops
- Connected transversals and multiplication groups of loops
- Four lectures on quasigroup representations
- Gyrogroups, the grouplike loops in the service of hyperbolic geometry and Einstein's special theory of relativity
- Transversals in latin squares
