Derived smooth induction with applications

2024/02/02 by Schneider, Peter, Sorensen, Claus
#11F70 #22D30 #22E50 #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2402.01504

Abstract

In natural characteristic, smooth induction from an open subgroup does not always give an exact functor. In this article we initiate a study of the right derived functors, and we give applications to the non-existence of projective representations and duality.

Related

• Duals in natural characteristic
• Orlov's Theorem in the Smooth Proper Case
• The fundamental group is not a derived invariant
• Projective smooth representations in natural characteristic
• On the Right Derived Functors of Ordinary Parts