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Spaces of commuting elements in SU(2)

Published online by Cambridge University Press:  19 January 2011

M. C. Crabb
Affiliation:
Institute of Mathematics, University of Aberdeen, Aberdeen AB24 3UE, UK
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Abstract

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Based on the work of Adem and Cohen, this note describes an explicit stable decomposition of the space of commuting n-tuples in SU(2) as a wedge of indecomposable summands.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 2011

References

1.Adem, A. and Cohen, F. R., Commuting elements and spaces of homomorphisms, Math. Annalen 338 (2007), 587626.CrossRefGoogle Scholar
2.Adem, A. and Cohen, F. R., Commuting elements and spaces of homomorphisms: erratum, Math. Annalen 347 (2010), 245248.CrossRefGoogle Scholar
3.Baird, T. J., Cohomology of the space of commuting n-tuples in a compact Lie group, Alg. Geom. Topol. 7 (2007), 737754.CrossRefGoogle Scholar
4.Baird, T. J., Jeffrey, L. and Selick, P., The space of commuting n-tuples in SU(2), preprint (arXiv: 091.4953v3 [math.AT]).Google Scholar
5.Crabb, M. C., Hubbuck, J. R. and McCall, J. A. W., Stable summands of U(n), Proc. R. Soc. Edinb. A 127 (1997), 963973.CrossRefGoogle Scholar
6.Miller, H., Stable splittings of Stiefel manifolds, Topology 24 (1985), 411419.CrossRefGoogle Scholar