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2-primary v1-periodic homotopy groups of SU(n) revisited
-
Donald M Davis
und
Katarzyna Potocka
Veröffentlicht/Copyright:
19. September 2007
Abstract
In 1991, Bendersky and Davis used the BP-based unstable Novikov spectral sequence to study the 2-primary v1-periodic homotopy groups of SU(n). Here we use a K-theoretic approach to add more detail to those results. In particular, whereas only the order of the groups 
was determined in the 1991 paper, here we determine the number of summands in these groups and much information about the orders of those summands. In addition, we give explicit conditions for certain differentials and extensions in a spectral sequence, which affect the homotopy groups. Finally, we give complete results for 
for n ≤ 13.
Received: 2005-03-09
Revised: 2005-06-29
Published Online: 2007-09-19
Published in Print: 2007-09-19
© Walter de Gruyter
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Artikel in diesem Heft
- On 2-spherical Kac-Moody groups and their central extensions
- 2-primary v1-periodic homotopy groups of SU(n) revisited
- Geometric quantization and Zuckerman models of semisimple Lie groups
- A mean value theorem for closed geodesics on congruence surfaces
- On the scarring of eigenstates in some arithmetic hyperbolic manifolds
- Cones based on reflection symmetric convex polygons: Remarks on a problem by A. Pleijel
Artikel in diesem Heft
- On 2-spherical Kac-Moody groups and their central extensions
- 2-primary v1-periodic homotopy groups of SU(n) revisited
- Geometric quantization and Zuckerman models of semisimple Lie groups
- A mean value theorem for closed geodesics on congruence surfaces
- On the scarring of eigenstates in some arithmetic hyperbolic manifolds
- Cones based on reflection symmetric convex polygons: Remarks on a problem by A. Pleijel
