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- Title
Presentations of the first homotopy groups of the unitary groups.
- Authors
Thomas Püttmann; A. Rigas
- Abstract
We describe explicit presentations of all stable and the first nonstable homotopy groups of the unitary groups. In particular, for each n = 2 we supply n homotopic maps that each represent the ( n - 1)!-th power of a suitable generator of p 2 n SU( n) ? Z n!. The product of these n commuting maps is the constant map to the identity matrix.
- Subjects
HOMOTOPY groups; UNITARY groups; MATRICES (Mathematics); GROUP theory
- Publication
Commentarii Mathematici Helvetici, 2003, Vol 78, Issue 3, p648
- ISSN
0010-2571
- Publication type
Article