Let $K$ be a field, we know elements in $H^2(K,\mathbb{G}_m)=\mathrm{Br}(K)$ can be represented by division algebras over $K$.
Do we have some description of elements in $H^2(K,GL_n)$ for $n>1$? They should give elements in $\mathrm{Br}(K)$ via taking determinant.