03603nam 2200637 a 450 991048491710332120200520144314.09783642225970364222597710.1007/978-3-642-22597-0(CKB)2550000000056692(SSID)ssj0000611021(PQKBManifestationID)11357381(PQKBTitleCode)TC0000611021(PQKBWorkID)10644631(PQKB)11417785(DE-He213)978-3-642-22597-0(MiAaPQ)EBC3067409(PPN)163736294(EXLCZ)99255000000005669220110830d2012 uy 0engurnn|008mamaatxtccrTopics in noncommutative algebra the theorem of Campbell, Baker, Hausdorff and Dynkin /Andrea Bonfiglioli, Roberta Fulci1st ed. 2012.New York Springer20121 online resource (XXII, 539 p. 5 illus.) Lecture notes in mathematics,0075-8434 ;2034Bibliographic Level Mode of Issuance: Monograph9783642225963 3642225969 Includes bibliographical references and index.pt. 1. Algebraic proofs of the theorem of Campbell, Baker, Hausdorff and Dynkin -- pt. 2. Proofs of the algebraic prerequisites.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 (Springer-Verlag) ;2034.Noncommutative algebrasNoncommutative algebras.512.55512.482510sdnbMAT 173fstubMAT 220fstubMAT 530fstubSI 850rvkBonfiglioli Andrea327207Fulci Roberta514816MiAaPQMiAaPQMiAaPQBOOK9910484917103321Topics in noncommutative algebra850938UNINA