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From representation theory to homotopy groups

About this Title

Donald M. Davis

Publication: Memoirs of the American Mathematical Society
Publication Year: 2002; Volume 160, Number 759
ISBNs: 978-0-8218-2987-5 (print); 978-1-4704-0357-7 (online)
DOI: https://doi.org/10.1090/memo/0759
MathSciNet review: 1938184
MSC: Primary 55Q51; Secondary 55T15

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Table of Contents

Chapters

  • 1. Introduction
  • 2. Representation theory and $\psi ^2$ in $K$-theory
  • 3. Nice form for $\psi ^2$ in $PK^1(E_8)_{(5)}$ and $PK^1(X)$
  • 4. Determination of $\upsilon ^{-1}_1 \pi _{2m}(E_8; 5)$
  • 5. Determination of $\upsilon ^{-1}_1 \pi _{2m-1}(E_8; 5)$
  • 6. Calculation of $\upsilon ^{-1}_1\pi _*(E_8; 3)$
  • 7. LiE program for computing $\lambda ^2$ in $R(E_8)$
  • 8. Analysis of $F_4$ and $E_7$ at the prime 3