The derived category of representations of the special linear group of degree two over a finite field

In this thesis, we study the modular representations of the special linear group of degree two over a finite field in defining characteristic. In particular, we study the automorphisms of derived category of representations. We have been able to obtain a new type of autoequivalence. This autoequivalence has some uncommon features. It is more conveniently conceived and proved using the representation theory of its Brauer subgroup but at the same time it can be very neatly described, using a type of derived equivalence called perverse equivalence, in global settings.

Name dc:type.qualificationname

phd

Level dc:type.qualificationlevel

doctoral

Grantor dc:publisher.institution

City, University of London

Year dc:date.issued

2016

Author dc:creator

• Wong, W. H. Y.

• QA Mathematics