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 Algebra2831261UNISA03242nam 2200613z- 450 9910557177903321202102100-19-106891-8(CKB)3710000000746857(oapen)https://directory.doabooks.org/handle/20.500.12854/39432(oapen)doab39432(EXLCZ)99371000000074685720202102d2015 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierEnvy, Poison, and DeathWomen on Trial in Classical AthensOxfordOxford University Press20151 online resource (436 p.)0-19-882258-8 At the heart of this book are some trials conducted in Athens in the fourth century BCE. In each case, the charges involved a combination of supernatural activities, including potion-brewing and cult activity; the defendants were all women. Because of the brevity of the ancient sources, and their lack of agreement, the precise charges are unclear; the reasons for taking these women to court, even condemning some of them to die, remain mysterious. This book takes the complexity and confusion of the evidence not as a riddle to be solved, but as revealing multiple social dynamics. It explores the changing factors-material, ideological, and psychological-that may have provoked these events. It focuses in particular on the dual role of envy (phthonos) and gossip as processes by which communities identified people and activities that were dangerous, and examines how and why those local, even individual, dynamics may have come to shape official civic decisions during a time of perceived hardship. At first sight so puzzling, these trials come to provide a vivid glimpse of the sociopolitical environment of Athens during the early to mid-fourth century BCE, including responses to changes in women's status and behaviour, and attitudes to particular supernatural/religious activities within the city. This study reveals some of the characters, events, and local social processes that shaped an emergent concept of magic: it suggests that the legal boundary of acceptable behaviour was shifting, not only within the legal arena, but also with the active involvement of society beyond the courts.Envy, Poison, & DeathLaw & societybicsscSocial & cultural anthropology, ethnographybicsscSocial & cultural historybicsscAthenscourtsemotionsenvyfourth centurygossipHBLA1HBTBHRKP3JFSJ1JHMCLAQlawmagicphthonosreligiontrialVXWwomenLaw & societySocial & cultural anthropology, ethnographySocial & cultural historyEidinow Esther1970-,auth0BOOK9910557177903321Envy, poison, and death2996017UNINA