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An Introduction to Quasigroups and Their Representations (Hardcover)
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An Introduction to Quasigroups and Their Representations (Hardcover)
Series: Studies in Advanced Mathematics
Expected to ship within 12 - 17 working days
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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, the first three chapters provide a
foundation in the theory of quasigroups and loops, covering special
classes, the combinatorial multiplication group, universal
stabilizers, and quasigroup analogues of abelian groups. Subsequent
chapters deal with the three main branches of representation
theory-permutation representations of quasigroups, combinatorial
character theory, and quasigroup module theory. Each chapter
includes exercises and examples to demonstrate how the theories
discussed relate to practical applications. The book concludes with
appendices that summarize some essential topics from category
theory, universal algebra, and coalgebras. Long overshadowed by
general group theory, quasigroups have become increasingly
important in combinatorics, cryptography, algebra, and physics.
Covering key research problems, An Introduction to Quasigroups and
Their Representations proves that you can apply group
representation theories to quasigroups as well.
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