Lie Groups: Structure, Actions, and Representations

Released on by Alan Huckleberry
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  • Lie Groups: Structure, Actions, and Representations Book Detail

  • Author : Alan Huckleberry
  • Release Date : 2013-08-03
  • Publisher : Birkhäuser
  • Genre : Mathematics
  • Pages : 413
  • ISBN 13 : 9781461471943
  • File Size : 20,20 MB
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Lie Groups: Structure, Actions, and Representations by Alan Huckleberry PDF Summary

Book Description: Lie Groups: Structures, Actions, and Representations, In Honor of Joseph A. Wolf on the Occasion of his 75th Birthday consists of invited expository and research articles on new developments arising from Wolf's profound contributions to mathematics. Due to Professor Wolf’s broad interests, outstanding mathematicians and scholars in a wide spectrum of mathematical fields contributed to the volume. Algebraic, geometric, and analytic methods are employed. More precisely, finite groups and classical finite dimensional, as well as infinite-dimensional Lie groups, and algebras play a role. Actions on classical symmetric spaces, and on abstract homogeneous and representation spaces are discussed. Contributions in the area of representation theory involve numerous viewpoints, including that of algebraic groups and various analytic aspects of harmonic analysis. Contributors D. Akhiezer T. Oshima A. Andrada I. Pacharoni M. L. Barberis F. Ricci L. Barchini S. Rosenberg I. Dotti N. Shimeno M. Eastwood J. Tirao V. Fischer S. Treneer T. Kobayashi C.T.C. Wall A. Korányi D. Wallace B. Kostant K. Wiboonton P. Kostelec F. Xu K.-H. Neeb O. Yakimova G. Olafsson R. Zierau B. Ørsted

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Structure and Geometry of Lie Groups

Structure and Geometry of Lie Groups

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This self-contained text is an excellent introduction to Lie groups and their actions on manifolds. The authors start with an elementary discussion of matrix gr