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Memoirs of the American Mathematical Society
1996; 93 pp; softcover
List Price: US$41
Individual Members: US$24.60
Institutional Members: US$32.80
Order Code: MEMO/119/569
In the study of Lie transformation groups on classical space forms, one of the most exciting features is the existence of nonlinear or "exotic" actions. Among the many unsolved problems, the classification of G-spheres with 2-dimensional orbit space has a prominent place. The main purpose of this monograph is to describe the beginnings of a program to the complete solution of this problem. One major feature of the author's approach is the effectiveness of the geometric weight system, which was introduced by Wu-Yi Hsiang around 1970, as a book-keeping method for orbit structural data.
Graduate students and research mathematicians in topology/geometry, invariant theory, theoretical physics and physicists who apply Lie theory.
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