Schur algebras are certain finite-dimensional algebras that completely
polynomial representation theory of the general linear groups over an infinite
Infinitesimal Schur algebras are truncated versions of the classical Schur
which control the polynomial representation theory of the Frobenius kernels
general linear groups. In this paper we use some elementary results on
to classify the semisimple Schur algebras. We then classify the semisimple
infinitesimal Schur algebras as well.