On a duality theorem of Schneider–Stuhler

Abstract

Abstract We extend a duality theorem of Schneider and Stuhler about Ext G i ⁢ [ π 1 , π 2 ] {{\rm Ext}_{G}^{i}[\pi_{1},\pi_{2}]} proved in [11] for smooth representations of a p-adic group G with central characters to all smooth representations assuming their result for only irreducible representations by generalities in homological algebra.