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[null,"1.","Record Nr.",null,"UNISA996466513303316"]
[null,null,"Autore",null,"Bonfiglioli Andrea"]
[null,null,"Titolo",null,"Topics in Noncommutative Algebra [[electronic resource] ] : The Theorem of Campbell, Baker, Hausdorff and Dynkin / / by Andrea Bonfiglioli, Roberta Fulci"]
[null,null,"Pubbl/distr/stampa",null,"Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2012"]
[null,null,"ISBN",null,"3-642-22597-7"]
[null,null,"Edizione",null,"[1st ed. 2012.]"]
[null,null,"Descrizione fisica",null,"1 online resource (XXII, 539 p. 5 illus.)"]
[null,null,"Collana",null,"Lecture Notes in Mathematics, , 0075-8434 ; ; 2034"]
[null,null,"Classificazione",null,"510"]
[{"$nulls":4},"MAT 173f"]
[{"$nulls":4},"MAT 220f"]
[{"$nulls":4},"MAT 530f"]
[{"$nulls":4},"SI 850"]
[null,null,"Disciplina",null,"512.55"]
[{"$nulls":4},"512.482"]
[null,null,"Soggetti",null,"Topological groups"]
[{"$nulls":4},"Lie groups"]
[{"$nulls":4},"Mathematics"]
[{"$nulls":4},"History"]
[{"$nulls":4},"Nonassociative rings"]
[{"$nulls":4},"Rings (Algebra)"]
[{"$nulls":4},"Differential geometry"]
[{"$nulls":4},"Topological Groups, Lie Groups"]
[{"$nulls":4},"History of Mathematical Sciences"]
[{"$nulls":4},"Non-associative Rings and Algebras"]
[{"$nulls":4},"Differential Geometry"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Bibliographic Level Mode of Issuance: Monograph"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"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."]
[null,null,null,"Sommario/riassunto","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."]