Developments and trends in infinite-dimensional lie theory
This collection of invited expository articles focuses on recent developments and trends in infinite-dimensional Lie theory, which has become one of the core areas of modern mathematics. The book is divided into three parts: infinite-dimensional Lie (super-)algebras, geometry of infinite-dimensional...
Tallennettuna:
| Päätekijä: | |
|---|---|
| Muut tekijät: | |
| Aineistotyyppi: | Livre numérique |
| Kieli: | Anglais |
| Julkaistu: |
Boston, MA :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| Painos: | 1st ed. 2011. |
| Sarja: | Progress in Mathematics
288 |
| Aiheet: | |
| Linkit: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Huomautus: |
Description d'après consultation du 20 avril 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Developments and trends in infinite-dimensional Lie theory, Karl-Hermann Neeb, Arturo Pianzola (eds.), 2011, [Boston], Birkhäuser, Springer, 1 vol. (VIII-492 p.), Progress in mathematics, 978-0-8176-4740-7 • Developments and Trends in Infinite-Dimensional Lie Theory, Texte imprimé, 9780817672331 |
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| 084 | |a 17Bxx. 2010 | ||
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| 100 | 1 | |a Neeb, Karl-Hermann, |d 1964-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Developments and trends in infinite-dimensional lie theory |c Karl-Hermann Neeb, Arturo Pianzola, Editors. |
| 250 | |a 1st ed. 2011. | ||
| 260 | |a Boston, MA : |b Birkhäuser Boston. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Progress in Mathematics |v 288 |x 2296-505X | |
| 500 | |a Description d'après consultation du 20 avril 2012 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Notes bibliogr. Index p. 483-492 | ||
| 505 | 1 | |a Preface Part A: Infinite-Dimensional Lie (Super-)Algebras Isotopy for Extended Affine Lie Algebras and Lie Tori Remarks on the Isotriviality of Multiloop Algebras Extended Affine Lie Algebras and Other Generalizations of Affine Lie Algebras A Survey Tensor Representations of Classical Locally Finite Lie Algebras Lie Algebras, Vertex Algebras, and Automorphic Forms Kac Moody Superalgebras and Integrability Part B: Geometry of Infinite-Dimensional Lie (Transformation) Groups Jordan Structures and Non-Associative Geometry Direct Limits of Infinite-Dimensional Lie Groups Lie Groups of Bundle Automorphisms and Their Extensions Gerbes and Lie Groups Part C: Representation Theory of Infinite-Dimensional Lie Groups Functional Analytic Background for a Theory of Infinite- Dimensional Reductive Lie Groups Heat Kernel Measures and Critical Limits Coadjoint Orbits and the Beginnings of a Geometric Representation Theory Infinite-Dimensional Multiplicity-Free Spaces I: Limits of Compact Commutative Spaces Index | |
| 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. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This collection of invited expository articles focuses on recent developments and trends in infinite-dimensional Lie theory, which has become one of the core areas of modern mathematics. The book is divided into three parts: infinite-dimensional Lie (super-)algebras, geometry of infinite-dimensional Lie (transformation) groups, and representation theory of infinite-dimensional Lie groups. Part (A) is mainly concerned with the structure and representation theory of infinite-dimensional Lie algebras and contains articles on the structure of direct-limit Lie algebras, extended affine Lie algebras and loop algebras, as well as representations of loop algebras and Kac Moody superalgebras. The articles in Part (B) examine connections between infinite-dimensional Lie theory and geometry. The topics range from infinite-dimensional groups acting on fiber bundles, corresponding characteristic classes and gerbes, to Jordan-theoretic geometries and new results on direct-limit groups. The analytic representation theory of infinite-dimensional Lie groups is still very much underdeveloped. The articles in Part (C) develop new, promising methods based on heat kernels, multiplicity freeness, Banach Lie Poisson spaces, and infinite-dimensional generalizations of reductive Lie groups. Contributors: B. Allison, D. Beltiţž, W. Bertram, J. Faulkner, Ph. Gille, H. Glöckner, K.-H. Neeb, E. Neher, I. Penkov, A. Pianzola, D. Pickrell, T.S. Ratiu, N.R. Scheithauer, C. Schweigert, V. Serganova, K. Styrkas, K. Waldorf, and J.A. Wolf | ||
| 650 | |a Lie, Algèbres de, de dimension infinie | ||
| 650 | |a Groupes, Théorie des | ||
| 700 | 1 | |a Pianzola, Arturo, |d 1955- |4 pbd | |
| 776 | 0 | |0 148533469 |t Developments and trends in infinite-dimensional Lie theory |f Karl-Hermann Neeb, Arturo Pianzola (eds.) |d 2011 |c [Boston] |n Birkhäuser |n Springer |p 1 vol. (VIII-492 p.) |s Progress in mathematics |z 978-0-8176-4740-7 | |
| 776 | 0 | |t Developments and Trends in Infinite-Dimensional Lie Theory |b Texte imprimé |z 9780817672331 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-0-8176-4741-4 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-H6BNG5C7-J |z Accès sur la plateforme Istex | |
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| 856 | 4 | |5 180339901:753983354 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-0-8176-4741-4 |z Accès INSA CVL | |
| 997 | |0 967950 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||