Nantilus
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...
Enregistré dans:
| Auteurs principaux : | , |
|---|---|
| Format : | Livre |
| Langue : | anglais |
| Titre complet : | Topics in noncommutative algebra : the theorem of Campbell, Baker, Hausdorff and Dynkin / Andrea Bonfiglioli, Roberta Fulci |
| Publié : |
Berlin, Heidelberg :
Springer Berlin Heidelberg
, 2012 Cham : Springer Nature |
| Collection : | Lecture notes in mathematics (Internet) ; 2034 |
| Accès en ligne : |
Accès Nantes Université
Accès direct soit depuis les campus via le réseau ou le wifi eduroam soit à distance avec un compte @etu.univ-nantes.fr ou @univ-nantes.fr |
| Note sur l'URL : | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex |
| Condition d'utilisation et de reproduction : | Conditions particulières de réutilisation pour les bénéficiaires des licences nationales : chttps://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |
| Sujets : | |
| Documents associés : | Autre format:
Topics in Noncommutative Algebra Autre format: Topics in Noncommutative Algebra |
| LEADER | 05427clm a2200769 4500 | ||
|---|---|---|---|
| 001 | PPN163736294 | ||
| 003 | http://www.sudoc.fr/163736294 | ||
| 005 | 20241001154900.0 | ||
| 010 | |a 978-3-642-22597-0 | ||
| 017 | 7 | 0 | |a 10.1007/978-3-642-22597-0 |2 DOI |
| 035 | |a (OCoLC)792889789 | ||
| 035 | |a SPRINGER_EBOOKS_LN_PLURI_10.1007/978-3-642-22597-0 | ||
| 035 | |a Springer-11649-978-3-642-22597-0 | ||
| 100 | |a 20120830d2012 u u0frey0103 ba | ||
| 101 | 0 | |a eng |2 639-2 | |
| 102 | |a DE | ||
| 105 | |a a a 001yy | ||
| 135 | |a dr||||||||||| | ||
| 181 | |6 z01 |c txt |2 rdacontent | ||
| 181 | 1 | |6 z01 |a i# |b xxxe## | |
| 182 | |6 z01 |c c |2 rdamedia | ||
| 182 | 1 | |6 z01 |a b | |
| 183 | |6 z01 |a ceb |2 RDAfrCarrier | ||
| 200 | 1 | |a Topics in noncommutative algebra |e the theorem of Campbell, Baker, Hausdorff and Dynkin |f Andrea Bonfiglioli, Roberta Fulci | |
| 214 | 0 | |a Berlin, Heidelberg |c Springer Berlin Heidelberg | |
| 214 | 2 | |a Cham |c Springer Nature |d 2012 | |
| 225 | 0 | |a Lecture Notes in Mathematics |x 1617-9692 |v 2034 | |
| 300 | |a L'accès complet au document est réservé aux usagers des établissements qui en ont fait l'acquisition | ||
| 330 | |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. | ||
| 359 | 1 | |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. | |
| 371 | 0 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | |
| 371 | 0 | |a Accès soumis à abonnement pour tout autre établissement | |
| 371 | 1 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales |c chttps://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | |
| 410 | | | |0 128395303 |t Lecture notes in mathematics (Internet) |x 1617-9692 |v 2034 | |
| 452 | | | |t Topics in Noncommutative Algebra |b Texte imprimé |y 9783642225987 | |
| 452 | | | |t Topics in Noncommutative Algebra |b Texte imprimé |y 9783642225963 | |
| 606 | |3 PPN031485065 |a Algèbres non commutatives |2 rameau | ||
| 606 | |3 PPN027569918 |a Géométrie différentielle |2 rameau | ||
| 606 | |3 PPN02723875X |a Mathématiques |2 rameau | ||
| 606 | |3 PPN027392228 |a Groupes topologiques |2 rameau | ||
| 606 | |3 PPN031372864 |a Anneaux non associatifs |2 rameau | ||
| 610 | 1 | |a Topological Groups, Lie Groups | |
| 610 | 2 | |a History of Mathematical Sciences | |
| 610 | 2 | |a Non-associative Rings and Algebras | |
| 610 | 2 | |a Differential Geometry | |
| 610 | 1 | |a Topological Groups and Lie Groups | |
| 615 | |a Mathematics and Statistics |n 11649 |2 Springer | ||
| 676 | |a 510 | ||
| 676 | |a 512.46 | ||
| 680 | |a QA252.3 | ||
| 680 | |a QA387 | ||
| 686 | |a 22-xx |c 2010 |2 msc | ||
| 686 | |a 01-xx |c 2010 |2 msc | ||
| 686 | |a 17-xx |c 2010 |2 msc | ||
| 686 | |a 53-xx |c 2010 |2 msc | ||
| 700 | 1 | |3 PPN11906779X |a Bonfiglioli |b Andrea |f 19..-.... |4 070 | |
| 701 | 1 | |3 PPN156537141 |a Fulci |b Roberta |f 19..-.... |4 070 | |
| 801 | 3 | |a FR |b Abes |c 20240814 |g AFNOR | |
| 801 | 1 | |a DE |b Springer |c 20240603 |g AACR2 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-642-22597-0 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-B0XLTW2C-H |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 441099901:830849572 |u https://budistant.univ-nantes.fr/login?url=https://doi.org/10.1007/978-3-642-22597-0 | |
| 915 | |5 441099901:830849572 |b SPRING13-00072 | ||
| 930 | |5 441099901:830849572 |b 441099901 |j g | ||
| 991 | |5 441099901:830849572 |a Exemplaire créé en masse par ITEM le 30-09-2024 16:08 | ||
| 997 | |a NUM |b SPRING13-00072 |d NUMpivo |e EM |s d | ||
| 998 | |a 977977 | ||