STABLE SUMMANDS OF U(N)

Authors
CRABB MC HUBBUCK JR MCCALL JAW
Citation
Mc. Crabb et al., STABLE SUMMANDS OF U(N), Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 127, 1997, pp. 963-973
Citations number
9
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the Royal Society of Edinburgh. Section A. Mathematics → ACNP
ISSN journal
03082105
Volume
127
Year of publication
1997
Part
5
Pages
963 - 973
Database
ISI
SICI code
0308-2105(1997)127:<963:SSOU>2.0.ZU;2-B
Abstract
The special unitary group SU(n) has the stable homotopy type of a wedg e of n - 1 finite complexes. The 'first' of these complexes is Sigma C Pn-1, which is well known to be indecomposable at the prime 2 whether n is finite or infinite. We show that the 'second' finite complex is a gain indecomposable at the prime 2 when ii is finite, but splits into a wedge of two pieces when n is infinite.