From Representation Theory to Homotopy Groups

From Representation Theory to Homotopy Groups
Author :
Publisher : American Mathematical Soc.
Total Pages : 65
Release :
ISBN-10 : 9780821829875
ISBN-13 : 0821829874
Rating : 4/5 (874 Downloads)

Book Synopsis From Representation Theory to Homotopy Groups by : Donald M. Davis

Download or read book From Representation Theory to Homotopy Groups written by Donald M. Davis and published by American Mathematical Soc.. This book was released on 2002 with total page 65 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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