05039nam 22008175 450 99646651330331620200630025759.03-642-22597-710.1007/978-3-642-22597-0(CKB)2550000000056692(SSID)ssj0000611021(PQKBManifestationID)11357381(PQKBTitleCode)TC0000611021(PQKBWorkID)10644631(PQKB)11417785(DE-He213)978-3-642-22597-0(MiAaPQ)EBC3067409(PPN)163736294(EXLCZ)99255000000005669220111010d2012 u| 0engurnn|008mamaatxtccrTopics in Noncommutative Algebra[electronic resource] The Theorem of Campbell, Baker, Hausdorff and Dynkin /by Andrea Bonfiglioli, Roberta Fulci1st ed. 2012.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2012.1 online resource (XXII, 539 p. 5 illus.) Lecture Notes in Mathematics,0075-8434 ;2034Bibliographic Level Mode of Issuance: Monograph3-642-22596-9 Includes bibliographical references and index.1 Historical Overview -- Part I Algebraic Proofs of the CBHD Theorem -- 2 Background Algebra -- 3 The Main Proof of the CBHD Theorem -- 4 Some ‘Short’ Proofs of the CBHD Theorem -- 5 Convergence and Associativity for the CBHD Theorem -- 6 CBHD, PBW and the Free Lie Algebras -- Part II Proofs of the Algebraic Prerequisites -- 7 Proofs of the Algebraic Prerequisites -- 8 Construction of Free Lie Algebras -- 9 Formal Power Series in One Indeterminate -- 10 Symmetric Algebra.Motivated by the importance of the Campbell, Baker, Hausdorff, Dynkin Theorem in many different branches of Mathematics and Physics (Lie group-Lie algebra theory, linear PDEs, Quantum and Statistical Mechanics, Numerical Analysis, Theoretical Physics, Control Theory, sub-Riemannian Geometry), this monograph is intended to: 1) fully enable readers (graduates or specialists, mathematicians, physicists or applied scientists, acquainted with Algebra or not) to understand and apply the statements and numerous corollaries of the main result; 2) provide a wide spectrum of proofs from the modern literature, comparing different techniques and furnishing a unifying point of view and notation; 3) provide a thorough historical background of the results, together with unknown facts about the effective early contributions by Schur, Poincaré, Pascal, Campbell, Baker, Hausdorff and Dynkin; 4) give an outlook on the applications, especially in Differential Geometry (Lie group theory) and Analysis (PDEs of subelliptic type); 5) quickly enable the reader, through a description of the state-of-art and open problems, to understand the modern literature concerning a theorem which, though having its roots in the beginning of the 20th century, has not ceased to provide new problems and applications. The book assumes some undergraduate-level knowledge of algebra and analysis, but apart from that is self-contained. Part II of the monograph is devoted to the proofs of the algebraic background. The monograph may therefore provide a tool for beginners in Algebra.Lecture Notes in Mathematics,0075-8434 ;2034Topological groupsLie groupsMathematicsHistoryNonassociative ringsRings (Algebra)Differential geometryTopological Groups, Lie Groupshttps://scigraph.springernature.com/ontologies/product-market-codes/M11132History of Mathematical Scienceshttps://scigraph.springernature.com/ontologies/product-market-codes/M23009Non-associative Rings and Algebrashttps://scigraph.springernature.com/ontologies/product-market-codes/M11116Differential Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M21022Topological groups.Lie groups.Mathematics.History.Nonassociative rings.Rings (Algebra).Differential geometry.Topological Groups, Lie Groups.History of Mathematical Sciences.Non-associative Rings and Algebras.Differential Geometry.512.55512.482510sdnbMAT 173fstubMAT 220fstubMAT 530fstubSI 850rvkBonfiglioli Andreaauthttp://id.loc.gov/vocabulary/relators/aut327207Fulci Robertaauthttp://id.loc.gov/vocabulary/relators/autBOOK996466513303316Topics in Noncommutative Algebra2831261UNISA02941nam 2200601 450 991078670780332120230725035434.01-4411-7252-11-4411-2040-8(CKB)2670000000355878(EBL)1173325(SSID)ssj0000873797(PQKBManifestationID)12382720(PQKBTitleCode)TC0000873797(PQKBWorkID)10885436(PQKB)11394122(MiAaPQ)EBC5309449(MiAaPQ)EBC1173325(Au-PeEL)EBL1173325(CaONFJC)MIL645433(OCoLC)843198707(EXLCZ)99267000000035587820180315h20112011 uy 0engur|n|---|||||txtccrThe power game in Byzantium Antonina and the Empress Theodora /James Allan Evans1st ed.London, [England] ;New York, New York :Continuum,2011.©20111 online resource (283 p.)Description based upon print version of record.1-322-14178-9 1-4411-4078-6 Includes bibliographical references and index.List of Illustrations; Preface; Abbreviations; 1; The Background to the Story; 2; The Scum of Society; 3; The Rise to Power; 4; The Remarkable Career of the Young Belisarius; 5; Antonina in Love; 6; Victory and Defeat in the Ecclesiastical Arena; 7; Theodora's Riposte; 8; The Fall of John the Cappadocian; 9; The Theodosius and Antonina Affair Continued; 10; Plague and Intrigue; 11; Theodora Fosters an Anti-Chalcedonian Church; 12; The Agony of Italy; 13; Postlude: The Ending of the Era of Reconquest; Appendix; Notes; Sources; Bibliography; IndexThis title presents an original portrayal of Justinian's reign, its politics and theological disputes, focusing on the lives of two extraordinary women who wielded power and influence. A fascinating exploration of the corridors of power in Byzantium of the time of Justinian (527-565), the book reveals how Empress Theodora and Antonina, both alumnae of the theatre, were remarkable examples of social mobility, moving into positions of power and influence, becoming wives of key figures. Theodora had three aims: to protect those Christians who would not accept the Chalcedonian Creed; to advance thEmpressesByzantine EmpireBiographyByzantine EmpireCourt and courtiersByzantine EmpireHistoryJustinian I, 527-565Empresses949.5/013949.5013Evans J. A. S(James Allan Stewart),1931-288099MiAaPQMiAaPQMiAaPQBOOK9910786707803321The power game in Byzantium3826715UNINA