An Introduction to Quasigroups and Their RepresentationsCRC Press, 15 nov 2006 - 352 pagine 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, |
Sommario
| 1 | |
MULTIPLICATION GROUPS | 35 |
CENTRAL QUASIGROUPS | 61 |
HOMOGENEOUS SPACES | 93 |
PERMUTATION REPRESENTATIONS | 113 |
CHARACTER TABLES | 139 |
COMBINATORIAL CHARACTER THEORY | 169 |
SCHEMES AND SUPERSCHEMES | 199 |
MODULES | 245 |
APPLICATIONS OF MODULE THEORY | 265 |
ANALYTICAL CHARACTER THEORY | 285 |
CATEGORICAL CONCEPTS | 307 |
UNIVERSAL ALGEBRA | 313 |
COALGEBRAS | 317 |
| 319 | |
| 331 | |
Altre edizioni - Visualizza tutto
An Introduction to Quasigroups and Their Representations Jonathan D. H. Smith Anteprima non disponibile - 2006 |
Parole e frasi comuni
abelian group action acts algebra basic characters basis called central Chapter character table class function combinatorial commutative complex congruence conjugacy class Consider construction contains Conversely Corollary corresponding defined definition denote described determined direct element equation equivalent example Exercise exponent extension finite quasigroup follows function function f functor given gives graph group G holds homogeneous space homomorphism idempotent identity integer isomorphism isotopic Lemma Let Q linear matrix modules morphism Moufang loop multiplication group natural nonempty quasigroup normal Note object obtained operation orbits particular periodic permutation permutation representation pique positive projection PROOF Proposition Q-module Q-sets quotient relation respective restriction result ring satisfies Section set Q Show square stabilizer structure subgroup subquasigroup subset Suppose symmetry takes Theorem theory transitive transversal unique variety vector yields