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Type of bind: Hardcover
Dewey Decimal Number: 512.22
EAN num: 9781584885375
ISBN number: 1584885378
Label: Chapman & Hall/CRC
Manufacturer: Chapman & Hall/CRC
Quantity: 1
Page Count: 352
Printing Date: November 15, 2006
Publishing house: Chapman & Hall/CRC
Sale Popularity Level: 2083159
Studio: Chapman & Hall/CRC
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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 very 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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