04399nam 2200637 450 991048085670332120170822131654.01-4704-0207-6(CKB)3360000000464802(EBL)3114519(SSID)ssj0000889033(PQKBManifestationID)11525292(PQKBTitleCode)TC0000889033(PQKBWorkID)10867753(PQKB)11554404(MiAaPQ)EBC3114519(PPN)195415027(EXLCZ)99336000000046480219970716h19971997 uy| 0engur|n|---|||||txtccrLie groups and subsemigroups with surjective exponential fuction /Karl H. Hofmann, Wolfgang A.F. RuppertProvidence, Rhode Island :American Mathematical Society,[1997]©19971 online resource (189 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 618"November 1997, volume 130, number 618 (second of 4 numbers)."0-8218-0641-6 Includes bibliographical references (pages 169-172) and index.""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""""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""""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""""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""""D""""E""; ""F""; ""G""; ""H""; ""I""; ""L""; ""M""; ""N""; ""O""; ""P""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W""; ""Z""Memoirs of the American Mathematical Society ;no. 618.Lie groupsLoops (Group theory)Topological semigroupsElectronic books.Lie groups.Loops (Group theory)Topological semigroups.510 s512/.55Hofmann Karl Heinrich4964Ruppert Wolfgang1948-MiAaPQMiAaPQMiAaPQBOOK9910480856703321Lie groups and subsemigroups with surjective exponential fuction2295056UNINA