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Record Nr. |
UNINA9910484917103321 |
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Autore |
Bonfiglioli Andrea |
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Titolo |
Topics in noncommutative algebra : the theorem of Campbell, Baker, Hausdorff and Dynkin / / Andrea Bonfiglioli, Roberta Fulci |
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Pubbl/distr/stampa |
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New York, : Springer, 2012 |
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ISBN |
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Edizione |
[1st ed. 2012.] |
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Descrizione fisica |
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1 online resource (XXII, 539 p. 5 illus.) |
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Collana |
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Lecture notes in mathematics, , 0075-8434 ; ; 2034 |
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Classificazione |
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510 |
MAT 173f |
MAT 220f |
MAT 530f |
SI 850 |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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pt. 1. Algebraic proofs of the theorem of Campbell, Baker, Hausdorff and Dynkin -- pt. 2. Proofs of the algebraic prerequisites. |
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Sommario/riassunto |
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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 |
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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. |
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