From Representation Theory to Homotopy Groups

Released on by Donald M. Davis
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  • From Representation Theory to Homotopy Groups Book Detail

  • Author : Donald M. Davis
  • Release Date : 2002
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 65
  • ISBN 13 : 0821829874
  • File Size : 43,43 MB
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From Representation Theory to Homotopy Groups by Donald M. Davis PDF Summary

Book Description: A formula for the odd-primary v1-periodic homotopy groups of a finite H-space in terms of its K-theory and Adams operations has been obtained by Bousfield. This work applys this theorem to give explicit determinations of the v1-periodic homotopy groups of (E8,5) and (E8,3), thus completing the determination of all odd-primary v1-periodic homotopy groups of all compact simple Lie groups, a project suggested by Mimura in 1989.

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