Schur algebras for the alternating group and Koszul duality
Schur algebras for the alternating group and Koszul duality
We introduce the alternating Schur algebra AS F (n, d) as the commutant of the action of the alternating group A d on the d-fold tensor power of an n-dimensional F -vector space.When F has characteristic different from 2, we give a basis of AS F (n, d) in terms …