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Progress in Mathematics

New Developments in Lie Theory and Their Applications

Authors: Tirao, Juan, Wallach

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About this book

Representation theory, and more generally Lie theory, has played a very important role in many of the recent developments of mathematics and in the interaction of mathematics with physics. In August-September 1989, a workshop (Third Workshop on Representation Theory of Lie Groups and its Applications) was held in the environs of C6rdoba, Argentina to present expositions of important recent developments in the field that would be accessible to graduate students and researchers in related fields. This volume contains articles that are edited versions of the lectures (and short courses) given at the workshop. Within representation theory, one of the main open problems is to determine the unitary dual of a real reductive group. Although this prob­ lem is as yet unsolved, the recent work of Barbasch, Vogan, Arthur as well as others has shed new light on the structure of the problem. The article of D. Vogan presents an exposition of some aspects of this prob­ lem, emphasizing an extension of the orbit method of Kostant, Kirillov. Several examples are given that explain why the orbit method should be extended and how this extension should be implemented.

Table of contents (14 chapters)

  • Automorphic Forms

    Wallach, Nolan R.

    Pages 1-25

  • Analytic and Geometric Realization of Representations

    Schmid, Wilfried

    Pages 27-47

  • Introduction to Quantized Enveloping Algebras

    Lusztig, George

    Pages 49-65

  • The Vanishing of Scalar Curvature on 6 Manifolds, Einstein’s Equation, and Representation Theory

    Kostant, Bertram

    Pages 67-86

  • Unitary Representations of Reductive Lie Groups and the Orbit Method

    Vogan, David A., Jr.

    Pages 87-114

Buy this book

eBook $74.99
price for USA in USD (gross)
  • ISBN 978-1-4612-2978-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.00
price for USA in USD
  • ISBN 978-0-8176-3619-7
  • Free shipping for individuals worldwide
  • This title is currently reprinting. You can pre-order your copy now.
Softcover $99.00
price for USA in USD
  • ISBN 978-1-4612-7743-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
New Developments in Lie Theory and Their Applications
Authors
Series Title
Progress in Mathematics
Series Volume
105
Copyright
1992
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Boston
eBook ISBN
978-1-4612-2978-0
DOI
10.1007/978-1-4612-2978-0
Hardcover ISBN
978-0-8176-3619-7
Softcover ISBN
978-1-4612-7743-9
Series ISSN
0743-1643
Edition Number
1
Number of Pages
X, 228
Topics