Isometries on the special unitary group

2015 ◽  
pp. 119-134 ◽  
Author(s):  
Osamu Hatori
Keyword(s):  
Unitary Group ◽  
Special Unitary Group

Stable summands of U(n)

1997 ◽  
Vol 127 (5) ◽  
pp. 963-973 ◽  
Author(s):  
M. C. Crabb ◽  
J. R. Hubbuck ◽  
J. A. W. McCall
Keyword(s):  
Homotopy Type ◽  
Unitary Group ◽  
Stable Homotopy ◽  
Finite Complex ◽  
Special Unitary Group ◽  
Prime 2

SynopsisThe special unitary group SU(n) has the stable homotopy type of a wedge of n − 1 finite complexes. The ‘first’ of these complexes is ΣℂPn–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 again indecomposable at the prime 2 when n is finite, but splits into a wedge of two pieces when n is infinite.

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