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20140310151441.0 |
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9780817647414 |
|
978-0-8176-4741-4 |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA252.3 |
|
Classification number |
QA387 |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
512.55 |
Edition number |
23 |
|
Classification number |
512.482 |
Edition number |
23 |
264 #1 - |
-- |
Boston : |
-- |
Birkhäuser Boston, |
-- |
2011. |
912 ## - |
-- |
ZDB-2-SMA |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Neeb, Karl-Hermann. |
Relator term |
editor. |
245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
Title |
Developments and Trends in Infinite-Dimensional Lie Theory |
Medium |
[electronic resource] / |
Statement of responsibility, etc |
edited by Karl-Hermann Neeb, Arturo Pianzola. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
VIII, 492p. 9 illus. |
Other physical details |
online resource. |
440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
Title |
Progress in Mathematics ; |
Volume number/sequential designation |
288 |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
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. |
520 ## - SUMMARY, ETC. |
Summary, etc |
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. Beltiţă, 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 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Algebra. |
|
Topical term or geographic name as entry element |
Geometry, algebraic. |
|
Topical term or geographic name as entry element |
Group theory. |
|
Topical term or geographic name as entry element |
Topological Groups. |
|
Topical term or geographic name as entry element |
Geometry. |
|
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Topological Groups, Lie Groups. |
|
Topical term or geographic name as entry element |
Group Theory and Generalizations. |
|
Topical term or geographic name as entry element |
Algebra. |
|
Topical term or geographic name as entry element |
Geometry. |
|
Topical term or geographic name as entry element |
Algebraic Geometry. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Pianzola, Arturo. |
Relator term |
editor. |
710 2# - ADDED ENTRY--CORPORATE NAME |
Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY |
Title |
Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Display text |
Printed edition: |
International Standard Book Number |
9780817647407 |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-0-8176-4741-4 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Item type |
E-Book |