From Representation Theory To Homotopy Groups
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From Representation Theory to Homotopy Groups
Author | : Donald M. Davis |
Publisher | : American Mathematical Soc. |
Total Pages | : 65 |
Release | : 2002 |
Genre | : Mathematics |
ISBN | : 0821829874 |
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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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