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...
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| Daljnji autori: | |
| Format: | Livre numérique |
| Jezik: | Anglais |
| Izdano: |
Boston, MA :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| Izdanje: | 1st ed. 2011. |
| Serija: | Progress in Mathematics
288 |
| Teme: | |
| Online pristup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Bilješka: |
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 |
Sadržaj:
- 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