Developments in Mathematics

Developments and Retrospectives in Lie Theory

Algebraic Methods

Editors: Mason, Geoffrey, Penkov, Ivan, Wolf, Joseph A. (Eds.)

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  • Includes contributions from an international group of experts in representation and Lie theory
  • Reflects the widespread influence of the Lie Theory Workshop on areas such as harmonic analysis, differential and algebraic geometry, and number theory
  • Contains articles covering representation theory from algebraic, geometric, analytic, and topological perspectives
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Hardcover $119.99
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  • Customers within the U.S. and Canada please contact Customer Service at +1-800-777-4643, Latin America please contact us at +1-212-460-1500 (24 hours a day, 7 days a week).
  • Due: October 28, 2016
  • ISBN 978-3-319-37820-6
  • Free shipping for individuals worldwide
About this book

The Lie Theory Workshop, founded by Joe Wolf (UC, Berkeley), has been running for over two decades. These workshops have been sponsored by the NSF, noting the talks have been seminal in describing new perspectives in the field covering broad areas of current research. At the beginning, the top universities in California and Utah hosted the meetings which continue to run on a quarterly basis. Experts in representation theory/Lie theory from various parts of the US, Europe, Asia (China, Japan, Singapore, Russia), Canada, and South and Central America were routinely invited to give talks at these meetings. Nowadays, the workshops are also hosted at universities in Louisiana, Virginia, and Oklahoma. The contributors to this volume have all participated in these Lie theory workshops and include in this volume expository articles which cover representation theory from the algebraic, geometric, analytic, and topological perspectives with also important connections to math physics. These survey articles, review and update the prominent seminal series of workshops in representation/Lie theory mentioned-above, and reflects the widespread influence of those workshops in such areas as harmonic analysis, representation theory, differential geometry, algebraic geometry, number theory, and mathematical physics. Many of the contributors have had prominent roles in both the classical and modern developments of Lie theory and its applications.

Table of contents (17 chapters)

Table of contents (17 chapters)
  • Group Gradings on Lie Algebras, with Applications to Geometry. I

    Bahturin, Yuri (et al.)

    Pages 1-50

  • Bounding the Dimensions of Rational Cohomology Groups

    Bendel, Christopher P. (et al.)

    Pages 51-69

  • Representations of the General Linear Lie Superalgebra in the BGG Category $$\mathcal{O}$$

    Brundan, Jonathan

    Pages 71-98

  • Three Results on Representations of Mackey Lie Algebras

    Chirvasitu, Alexandru

    Pages 99-109

  • Free Field Realizations of the Date-Jimbo-Kashiwara-Miwa Algebra

    Cox, Ben (et al.)

    Pages 111-136

Buy this book

eBook $99.00
price for USA in USD (gross)
  • ISBN 978-3-319-09804-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.99
price for USA in USD
  • ISBN 978-3-319-09803-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA in USD
  • Customers within the U.S. and Canada please contact Customer Service at +1-800-777-4643, Latin America please contact us at +1-212-460-1500 (24 hours a day, 7 days a week).
  • Due: October 28, 2016
  • ISBN 978-3-319-37820-6
  • Free shipping for individuals worldwide
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Bibliographic Information

Bibliographic Information
Book Title
Developments and Retrospectives in Lie Theory
Book Subtitle
Algebraic Methods
Editors
  • Geoffrey Mason
  • Ivan Penkov
  • Joseph A. Wolf
Series Title
Developments in Mathematics
Series Volume
38
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-09804-3
DOI
10.1007/978-3-319-09804-3
Hardcover ISBN
978-3-319-09803-6
Softcover ISBN
978-3-319-37820-6
Series ISSN
1389-2177
Edition Number
1
Number of Pages
X, 397
Number of Illustrations
85 b/w illustrations
Topics