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creating a symbolic square symmetric matrix


Hi,
First, I created a square matrix with the following command :
n=4;
mat=Table[Subscript[a,i, j],{i,n},{j,n}]
In the same style, I would like to create a symmetric matric where all
a[i, j] is replaced by a[j,i] for i>j. For i<=j, the coefficients
remain in place.
I tried to use the replace command :
Replace[mat,Subscript[a,i,j]->Subscript[a,j,i]]
This just interchanged the elements. I want this replacement only for
the lower or upper triangular matrix elements.
Would appreciate tips of doing a conditional substitution.
/ravi


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