03511nam 22006375 450 99646667050331620200630064206.03-030-28300-310.1007/978-3-030-28300-1(CKB)4100000009844907(DE-He213)978-3-030-28300-1(MiAaPQ)EBC5975543(PPN)241943922(EXLCZ)99410000000984490720191108d2019 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierGroup Matrices, Group Determinants and Representation Theory[electronic resource] The Mathematical Legacy of Frobenius /by Kenneth W. Johnson1st ed. 2019.Cham :Springer International Publishing :Imprint: Springer,2019.1 online resource (XXV, 384 p. 5 illus.) Lecture Notes in Mathematics,0075-8434 ;22333-030-28299-6 Includes bibliographical references and index.This book sets out an account of the tools which Frobenius used to discover representation theory for nonabelian groups and describes its modern applications. It provides a new viewpoint from which one can examine various aspects of representation theory and areas of application, such as probability theory and harmonic analysis. For example, the focal objects of this book, group matrices, can be thought of as a generalization of the circulant matrices which are behind many important algorithms in information science. The book is designed to appeal to several audiences, primarily mathematicians working either in group representation theory or in areas of mathematics where representation theory is involved. Parts of it may be used to introduce undergraduates to representation theory by studying the appealing pattern structure of group matrices. It is also intended to attract readers who are curious about ideas close to the heart of group representation theory, which do not usually appear in modern accounts, but which offer new perspectives.Lecture Notes in Mathematics,0075-8434 ;2233Group theoryAssociative ringsRings (Algebra)CombinatoricsProbabilitiesGroup Theory and Generalizationshttps://scigraph.springernature.com/ontologies/product-market-codes/M11078Associative Rings and Algebrashttps://scigraph.springernature.com/ontologies/product-market-codes/M11027Combinatoricshttps://scigraph.springernature.com/ontologies/product-market-codes/M29010Probability Theory and Stochastic Processeshttps://scigraph.springernature.com/ontologies/product-market-codes/M27004Group theory.Associative rings.Rings (Algebra).Combinatorics.Probabilities.Group Theory and Generalizations.Associative Rings and Algebras.Combinatorics.Probability Theory and Stochastic Processes.512.2Johnson Kenneth Wauthttp://id.loc.gov/vocabulary/relators/aut109934MiAaPQMiAaPQMiAaPQBOOK996466670503316Group Matrices, Group Determinants and Representation Theory1567626UNISA