by Jean-PhilippeAnker (Editor), Bent Orsted (Editor)
* First of three independent, self-contained volumes under the general title, Lie Theory, featuring original results and survey work from renowned mathematicians.
* Contains J. C. Jantzen's Nilpotent Orbits in Representation Theory, and K.-H. Neeb's Infinite Dimensional Groups and their Representations.
* Comprehensive treatments of the relevant geometry of orbits in Lie algebras, or their duals, and the correspondence to representations.
* Should benefit graduate students and researchers in mathematics and mathematical physics.
Format: Hardcover
Pages: 337
Publisher: Birkhauser
Published: 16 Jan 2004
ISBN 10: 0817633731
ISBN 13: 9780817633738
Book Overview: Springer Book Archives
The references in this volume are extensive (especially for positive characteristic results) and include literature as recent as 2002.
Some of Jantzen's techniques seem to be unmotivated at first, but he rewards the patient reader with background and motivation as he moves through the book, often starting with a simple case in a classical group/algebra and providing motivation by generalizing the situation later. The detailed work is also surprisingly free of logical and typographical errors; Jantzen has been very careful at every turn.
....
...Neeb's article is a good starting point for learning about the analytic side of the unitary representation theory of infinite-dimensional groups.
-SIAM Book Reviews
This is the first volume in a series of three on the theory of semisimple Lie groups. It consists of two independent articles, which both are devoted to realtions between representation theory and adjoint or coadjoint orbits. ---Monatshefte fur Mathematik
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