LEADER 04244nam 2200733Ia 450 001 9910777605203321 005 20230828223804.0 010 $a1-282-19485-2 010 $a9786612194856 010 $a3-11-019977-7 024 7 $a10.1515/9783110199772 035 $a(CKB)1000000000467196 035 $a(EBL)280210 035 $a(OCoLC)476023481 035 $a(SSID)ssj0000252675 035 $a(PQKBManifestationID)11203548 035 $a(PQKBTitleCode)TC0000252675 035 $a(PQKBWorkID)10185287 035 $a(PQKB)11425496 035 $a(MiAaPQ)EBC280210 035 $a(DE-B1597)19809 035 $a(OCoLC)979599440 035 $a(DE-B1597)9783110199772 035 $a(Au-PeEL)EBL280210 035 $a(CaPaEBR)ebr10154736 035 $a(CaONFJC)MIL219485 035 $a(EXLCZ)991000000000467196 100 $a20060605d2006 uy 0 101 0 $aeng 135 $aurun#---|u||u 181 $ctxt 182 $cc 183 $acr 200 14$aThe structure of compact groups$b[electronic resource] $ea primer for students, a handbook for the expert /$fby Karl H. Hofmann, Sidney A. Morris 205 $a2nd rev. ed. 210 $aNew York $cWalter de Gruyter$d2006 215 $a1 online resource (876 p.) 225 1 $aDe Gruyter studies in mathematics ;$v25 300 $aDescription based upon print version of record. 311 0 $a3-11-019006-0 320 $aIncludes bibliographical references and index. 327 $tFront matter --$tContents --$tChapter 1 Basic Topics and Examples --$tChapter 2 The Basic Representation Theory of Compact Groups --$tChapter 3 The Ideas of Peter and Weyl --$tChapter 4 Characters --$tChapter 5 Linear Lie Groups --$tChapter 6 Compact Lie Groups --$tChapter 7 Duality for Abelian Topological Groups --$tChapter 8 Compact Abelian Groups --$tChapter 9 The Structure of Compact Groups --$tChapter 10 Compact Group Actions --$tChapter 11 The Structure of Free Compact Groups --$tChapter 12 Cardinal Invariants of Compact Groups --$tBackmatter 330 $aDealing with subject matter of compact groups that is frequently cited in fields like algebra, topology, functional analysis, and theoretical physics, this book has been conceived with the dual purpose of providing a text book for upper level graduate courses or seminars, and of serving as a source book for research specialists who need to apply the structure and representation theory of compact groups. After a gentle introduction to compact groups and their representation theory, the book presents self-contained courses on linear Lie groups, on compact Lie groups, and on locally compact abelian groups. However, the thrust of book points in the direction of the structure theory of infinite dimensional, not necessarily commutative compact groups, unfettered by weight restrictions or dimensional bounds. In the process it utilizes infinite dimensional Lie algebras and the exponential function of arbitrary compact groups. The first edition of 1998 was well received by reviewers and has been frequently "ed in the areas of instruction and research. For the present new edition the text has been cleaned of typographical flaws and some minor inaccuracies of content; it has been edited and improved in various sections. New material has been added in order to reflect ongoing research. In the process of revising the original edition, the integrity of the original section numbering was carefully respected so that citations of material from the first edition remains perfectly viable to the users of this edition. 410 0$aGruyter studies in mathematics ;$v25. 606 $aCompact groups 606 $aMathematics 610 $aAbelian group. 610 $aLie algebra. 610 $acategory theory. 610 $acompact group. 610 $atopological group. 615 0$aCompact groups. 615 0$aMathematics. 676 $a512/.55 686 $aSK 340$2rvk 700 $aHofmann$b Karl Heinrich$04964 701 $aMorris$b Sidney A.$f1947-$057548 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910777605203321 996 $aThe structure of compact groups$93703990 997 $aUNINA