LEADER 04399nam 2200637 450 001 9910480856703321 005 20170822131654.0 010 $a1-4704-0207-6 035 $a(CKB)3360000000464802 035 $a(EBL)3114519 035 $a(SSID)ssj0000889033 035 $a(PQKBManifestationID)11525292 035 $a(PQKBTitleCode)TC0000889033 035 $a(PQKBWorkID)10867753 035 $a(PQKB)11554404 035 $a(MiAaPQ)EBC3114519 035 $a(PPN)195415027 035 $a(EXLCZ)993360000000464802 100 $a19970716h19971997 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aLie groups and subsemigroups with surjective exponential fuction /$fKarl H. Hofmann, Wolfgang A.F. Ruppert 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[1997] 210 4$dİ1997 215 $a1 online resource (189 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 618 300 $a"November 1997, volume 130, number 618 (second of 4 numbers)." 311 $a0-8218-0641-6 320 $aIncludes bibliographical references (pages 169-172) and index. 327 $a""Contents""; ""Chapter 1. Introduction""; ""1. The Problem and its Background""; ""2. A Survey of Methods and Techniques""; ""3. The Major Results""; ""4. Suggestions for the Reader""; ""Chapter 2. The Basic Theory of Exponential Semigroups in Lie Groups""; ""1. Basic Definitions and Examples""; ""2. The Exponential Function and Divisibility""; ""3. The Exponential Image of Lie Wedges and Regularity""; ""4. Maximal Rank Subgroups""; ""5. Interior Points in the Tangent Wedge""; ""Chapter 3. Weyl Groups and Finiteness Properties of Cartan Subalgebras""; ""1. Cartan Dense Ideals"" 327 $a""2. Algebraic Hulls""""3. Generalized Weyl Groups""; ""4. Intersections of Cartan Subalgebras""; ""5. Porcupine Varieties""; ""6. Porcupine Varieties are Proper""; ""7. The Codimension of Porcupine Varieties""; ""Chapter 4. Lie Semialgebras""; ""1. Semialgebras Revisited""; ""2. Dispersion of Weakly Exponential Semigroups""; ""3. More about Subtangent Vectors""; ""4. Reductions by Factoring Normal Subgroups""; ""5. Porcupine Varieties and Lie Semialgebras""; ""6. Groups with a Unique Maximal Compact Subgroup""; ""7. More about Lean Sets""; ""Chapter 5. More Examples"" 327 $a""1. Examples Connected with the Special Linear Group""""2. Some Results on Injective Images of Lie Subsemigroups""; ""3. Examples Connected with the Motion Algebra""; ""4. Examples Connected with the Oscillator Group""; ""5. Examples Connected with Compact Lie Algebras""; ""Chapter 6. Test Algebras and Groups""; ""1. Extensions of the Motion Algebra and of the Oscillator Algebra""; ""2. Test Objects""; ""3. Locally Direct Products of Lie Groups""; ""4. The Proof of the Testing Theorem""; ""Chapter 7. Groups Supporting Reduced Weakly Exponential Semigroups"" 327 $a""1. 'Occam's Razor' and Reduced Weakly Exponential Subsemigroups""""2. The Spectrum of adw is Contained in R U iR""; ""3. Root Spaces with Respect to Real-Valued Roots""; ""4. Weakly Exponential Subsemigroups and Eggert Algebras""; ""Chapter 8. Roots and Root Spaces""; ""1. Roots and Root Spaces""; ""2. The Answer""; ""Chapter 9. Appendix: The Hyperspace of a Locally Compact Space""; ""1. Continuous Lattices, Lawson Topology, and Hyperspaces""; ""2. Continuous Functions""; ""3. The Use of Nets""; ""4. Applications to Topological Algebras""; ""References""; ""Index""; ""A""; ""B""; ""C"" 327 $a""D""""E""; ""F""; ""G""; ""H""; ""I""; ""L""; ""M""; ""N""; ""O""; ""P""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W""; ""Z"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 618. 606 $aLie groups 606 $aLoops (Group theory) 606 $aTopological semigroups 608 $aElectronic books. 615 0$aLie groups. 615 0$aLoops (Group theory) 615 0$aTopological semigroups. 676 $a510 s 676 $a512/.55 700 $aHofmann$b Karl Heinrich$04964 702 $aRuppert$b Wolfgang$f1948- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480856703321 996 $aLie groups and subsemigroups with surjective exponential fuction$92295056 997 $aUNINA