On subgroups of the full linear group over the skew field of quaternions which include the special unitary group

1998 ◽  
Vol 39 (6) ◽  
pp. 1080-1092 ◽  
Author(s):  
E. L. Bashkirov



2005 ◽  
Vol 46 (7) ◽  
pp. 072306 ◽  
Author(s):  
Yi Wei ◽  
Tilo Wettig


Author(s):  
M. C. Crabb ◽  
J. R. Hubbuck ◽  
J. A. W. McCall

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.



2010 ◽  
Vol 38 (6) ◽  
pp. 2364-2403 ◽  
Author(s):  
Jianbei An ◽  
Frank Himstedt ◽  
Shih-Chang Huang




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