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010   $a3-030-28300-3
024 7 $a10.1007/978-3-030-28300-1
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035   $a(DE-He213)978-3-030-28300-1
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035   $a(PPN)241943922
035   $a(EXLCZ)994100000009844907
100   $a20191108d2019      u|             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aGroup Matrices, Group Determinants and Representation Theory$b[electronic resource] $eThe Mathematical Legacy of Frobenius /$fby Kenneth W. Johnson
205   $a1st ed. 2019.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019.
215   $a1 online resource (XXV, 384 p. 5 illus.) 
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2233
311   $a3-030-28299-6 
320   $aIncludes bibliographical references and index.
330   $aThis book sets out an account of the tools which Frobenius used to discover representation theory for nonabelian groups and describes its modern applications. It provides a new viewpoint from which one can examine various aspects of representation theory and areas of application, such as probability theory and harmonic analysis. For example, the focal objects of this book, group matrices, can be thought of as a generalization of the circulant matrices which are behind many important algorithms in information science. The book is designed to appeal to several audiences, primarily mathematicians working either in group representation theory or in areas of mathematics where representation theory is involved. Parts of it may be used to introduce undergraduates to representation theory by studying the appealing pattern structure of group matrices. It is also intended to attract readers who are curious about ideas close to the heart of group representation theory, which do not usually appear in modern accounts, but which offer new perspectives.
410  0$aLecture Notes in Mathematics,$x0075-8434 ;$v2233
606   $aGroup theory
606   $aAssociative rings
606   $aRings (Algebra)
606   $aCombinatorics
606   $aProbabilities
606   $aGroup Theory and Generalizations$3https://scigraph.springernature.com/ontologies/product-market-codes/M11078
606   $aAssociative Rings and Algebras$3https://scigraph.springernature.com/ontologies/product-market-codes/M11027
606   $aCombinatorics$3https://scigraph.springernature.com/ontologies/product-market-codes/M29010
606   $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004
615  0$aGroup theory.
615  0$aAssociative rings.
615  0$aRings (Algebra).
615  0$aCombinatorics.
615  0$aProbabilities.
615 14$aGroup Theory and Generalizations.
615 24$aAssociative Rings and Algebras.
615 24$aCombinatorics.
615 24$aProbability Theory and Stochastic Processes.
676   $a512.2
700   $aJohnson$b Kenneth W$4aut$4http://id.loc.gov/vocabulary/relators/aut$0109934
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a996466670503316
996   $aGroup Matrices, Group Determinants and Representation Theory$91567626
997   $aUNISA