From Representation Theory to Homotopy Groups

Download or Read eBook From Representation Theory to Homotopy Groups PDF 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.
From Representation Theory to Homotopy Groups
Author :
Publisher : American Mathematical Soc.
Total Pages : 65
Release :
ISBN-10 : 9780821829875
ISBN-13 : 0821829874
Rating : 4/5 (75 Downloads)

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

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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“This book is a jewel – it explains important, useful and deep topics in Algebraic Topology that you won’t find elsewhere, carefully and in detail.” Pro