3 papers
math.RT2018
Twisted Sequences of Extensions
Kevin J. Carlin
Gabber and Joseph introduced a ladder diagram between two natural sequences of extensions. Their diagram is used to produce a 'twisted' sequence that is applied to old and new resu…
math.RT2015
On Extensions Between Verma Modules
Kevin J. Carlin
A recent result of N. Abe implies that the Gabber-Joseph conjecture is true for the first-degree extensions between Verma modules with regular integral highest weights.
math.RT2008
Derived Functors Related to Wall Crossing
Kevin J. Carlin
The setting is the representation theory of a simply connected, semisimple algebraic group over a field of positive characteristic. There is a natural transformation from the wall-…