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Autore: | Bonfiglioli Andrea |
Titolo: | Topics in noncommutative algebra : the theorem of Campbell, Baker, Hausdorff and Dynkin / / Andrea Bonfiglioli, Roberta Fulci |
Pubblicazione: | New York, : Springer, 2012 |
Edizione: | 1st ed. 2012. |
Descrizione fisica: | 1 online resource (XXII, 539 p. 5 illus.) |
Disciplina: | 512.55 |
512.482 | |
Soggetto topico: | Noncommutative algebras |
Classificazione: | 510 |
MAT 173f | |
MAT 220f | |
MAT 530f | |
SI 850 | |
Altri autori: | FulciRoberta |
Note generali: | Bibliographic Level Mode of Issuance: Monograph |
Nota di bibliografia: | Includes bibliographical references and index. |
Nota di contenuto: | pt. 1. Algebraic proofs of the theorem of Campbell, Baker, Hausdorff and Dynkin -- pt. 2. Proofs of the algebraic prerequisites. |
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. |
Titolo autorizzato: | Topics in noncommutative algebra |
ISBN: | 3-642-22597-7 |
Formato: | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 9910484917103321 |
Lo trovi qui: | Univ. Federico II |
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