Noncompact Lie Groups and Some of Their Applications

December 9, 2011|
Noncompact Lie Groups and Some of Their Applications by Elizabeth A. Tanner
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During the past two decades representations of noncompact Lie groups and Lie algebras have been studied extensively, and their application to other branches of mathematics and to physical sciences has increased enormously. Several theorems which were proved in the abstract now carry definite mathematical and physical sig­ nificance. Several physical observations which were not understood before are now explained in terms of models based on new group-theoretical structures such as dy­ namical groups and Lie supergroups. The workshop was designed to bring together those mathematicians and mathematical physicists who are actively working in this broad spectrum of research and to provide them with the opportunity to present their recent results and to discuss the challenges facing them in the many problems that remain. The objective of the workshop was indeed well achieved. This book contains 31 lectures presented by invited participants attending the NATO Advanced Research Workshop held in San Antonio, Texas, during the week of January 3-8, 1993. The introductory article by the editors provides a brief review of the concepts underlying these lectures (cited by author [*]) and mentions some of their applications. The articles in the book are grouped under the following general headings: Lie groups and Lie algebras, Lie superalgebras and Lie supergroups, and Quantum groups, and are arranged in the order in which they are cited in the introductory article. We are very thankful to Dr.
1. Noncompact Lie groups, their algebras and some of their applications.- Lie Groups and Lie Algebras.- 2. Harish-Chandra's c-function. A mathematical jewel.- 3. Basic harmonic analysis on pseudo-Riemannian symmetric spaces.- 4. The extensions of space-time. Physics in the 8-dimensional homogeneous space D = SU(2, 2)/K.- 5. Ordinary - ...
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Title:Noncompact Lie Groups and Some of Their ApplicationsFormat:PaperbackProduct dimensions:9.45 X 6.3 X 0 inShipping dimensions:9.45 X 6.3 X 0 inPublished:December 9, 2011Publisher:Springer NetherlandsLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9401044708

ISBN - 13:9789401044707

Appropriate for ages: All ages

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