Abstract
In this paper, by making use of the Cartan models, we will construct cellular decompositions of some symmetric Riemannian spaces such as Sp ( n ) / U ( n ) , U ( n ) / O ( n ) , U ( 2 n ) / Sp ( n ) , O ( 2 n ) / U ( n ) , SU ( n ) / SO ( n ) , SU ( 2 n ) / Sp ( n ) , SO ( 2 n ) / U ( n ) .
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