On higher-dimensional fuzzy spherical branes

Matrix descriptions of higher-dimensional spherical branes are investigated. It is known that a fuzzy 2 k-sphere is described by the coset space SO(2 k+1)/ U( k) and has some extra dimensions. It is shown that a fuzzy 2 k-sphere is comprised of n ^{k(k-1)}/{2} spherical D(2 k-1)-branes and has a fuzzy 2( k-1)-sphere at each point. We can understand the relationship between these two viewpoints by the dielectric effect. Contraction of the algebra is also discussed.