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From Representation Theory to Homotopy Groups

Donald M. Davis Lehigh University, Bethlehem, PA
Available Formats:
Electronic ISBN: 978-1-4704-0357-7
Product Code: MEMO/160/759.E
50 pp
List Price: $50.00 MAA Member Price:$45.00
AMS Member Price: $30.00 Click above image for expanded view From Representation Theory to Homotopy Groups Donald M. Davis Lehigh University, Bethlehem, PA Available Formats:  Electronic ISBN: 978-1-4704-0357-7 Product Code: MEMO/160/759.E 50 pp  List Price:$50.00 MAA Member Price: $45.00 AMS Member Price:$30.00
• Book Details

Memoirs of the American Mathematical Society
Volume: 1602002
MSC: Primary 55;

Graduate students and research mathematicians interested in geometry and topology.

• 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
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Volume: 1602002
MSC: Primary 55;

• 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