The Degree of a Schur Algebra

tra11e algeba B is called aSehur aZeZ)r over K if 3 is isomorPhic to a si4)1e component of the group algebra IqG for se finite gro G Let S(K denote the setof Schur algebras over K We ca11SK)the Sehar set of( Let A be a Kcentral si)1e algebra Denote by A the algebraclass of the Brauer groUp BrK) which contains A Put S(K) B BrK) B is a Schur algebra SK is a sul)gromp of Br(K and is called the Schta9ouF)of K In order to detemin6 the Schur setKof K west first detemine the set of K-central diviin19ebaDuh thatDS(K)This is theas