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From Representation Theory to Homotopy Groups
Donald M. Davis, Lehigh University, Bethlehem, PA

Memoirs of the American Mathematical Society
2002; 50 pp; softcover
Volume: 160
ISBN-10: 0-8218-2987-4
ISBN-13: 978-0-8218-2987-5
List Price: US$50
Individual Members: US$30
Institutional Members: US$40
Order Code: MEMO/160/759
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Graduate students and research mathematicians interested in geometry and topology.

Table of Contents

  • Introduction
  • Representation theory and \(\psi^2\) in \(K\)-theory
  • Nice form for \(\psi^2\) in \(PK^1(E_8)_{(5)}\) and \(PK^1(X)\)
  • Determination of \(v_1^{-1}\pi_{2m}(E_8;5)\)
  • Determination of \(v_1^{-1}\pi_{2m-1}(E_8;5)\)
  • Calculation of \(v_1^{-1}\pi_\ast(E_8;3)\)
  • LiE program for computing \(\lambda^2\) in \(R(E_8)\)
  • Analysis of \(F_4\) and \(E_7\) at the prime \(3\)
  • References
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