Schur Algebras for the Alternating Group and Koszul Duality

Thangavelu Geetha, Amritanshu Prasad, Shraddha Srivastava

We introduce the alternating Schur algebra $A{S}_F(n,d)$ as the commutant of the action of the alternating group $A_d$ on the $d$-fold tensor power of an $n$-dimensional $F$-vector s…