Topics in noncommutative algebra : the theorem of Campbell, Baker, Hausdorff and Dynkin
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 m...
Kaydedildi:
| Asıl Yazarlar: | , |
|---|---|
| Materyal Türü: | Livre numérique |
| Dil: | Anglais |
| Baskı/Yayın Bilgisi: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
2012.
Cham : Springer Nature |
| Seri Bilgileri: | Lecture Notes in Mathematics
2034 |
| Konular: | |
| Online Erişim: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Not: |
L'accès complet au document est réservé aux usagers des établissements qui en ont fait l'acquisition Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Topics in Noncommutative Algebra, Texte imprimé, 9783642225987 • Topics in Noncommutative Algebra, Texte imprimé, 9783642225963 |
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| 084 | |a 22-xx. 2010 | ||
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| 100 | 1 | |a Bonfiglioli, Andrea, |d 19..- | |
| 245 | 1 | 0 | |a Topics in noncommutative algebra : |b the theorem of Campbell, Baker, Hausdorff and Dynkin |c Andrea Bonfiglioli, Roberta Fulci. |
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c 2012. | ||
| 490 | 0 | |a Lecture Notes in Mathematics |v 2034 |x 1617-9692 | |
| 500 | |a L'accès complet au document est réservé aux usagers des établissements qui en ont fait l'acquisition | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. chttps://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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. | ||
| 650 | |a Algèbres non commutatives | ||
| 650 | |a Géométrie différentielle | ||
| 650 | |a Mathématiques | ||
| 650 | |a Groupes topologiques | ||
| 650 | |a Anneaux non associatifs | ||
| 700 | 1 | |a Fulci, Roberta, |d 19..- |4 aut | |
| 776 | 0 | |t Topics in Noncommutative Algebra |b Texte imprimé |z 9783642225987 | |
| 776 | 0 | |t Topics in Noncommutative Algebra |b Texte imprimé |z 9783642225963 | |
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