2 citations · 3 across the 9 of their papers we have counts for
17 papers
On the Humphreys-Verma Conjecture for semisimple algebraic groups of rank
Stephen Donkin, Haralampos Geranios
Let be a connected, semisimple, simply connected algebraic group over an algebraically closed field of positive characteristic. For each restricted dominant weight , there i…
Greene's Theorem and ideals of the group algebra of a symmetric group
Stephen Donkin
We show that certain factor rings of the group algebra of a symmetric group have natural bases of group elements. We also give generators for the annihilator of certain permutation…
On the conjugation action for quantum general linear groups
Stephen Donkin
We consider the conjugation action of a quantum group over an arbitrary field. In particular we consider the coordinate algebra of a quantised general linear group G(n), at an arbi…
Double centralisers and annihilator ideals of Young permutation modules
Stephen Donkin
We study the double centraliser property and the annihilators ideals of certain permutation modules for symmetric groups and their quantum analogues. In version 2 some remarks have…
Cellularity of endomorphism algebras of Young permutation modules
Stephen Donkin
It is shown that the endomorphism algebra of an arbitrary Young permutation module is cellular. Those are are quasi-hereditary are then determined.
A Clebsch-Gordan decomposition in positive characteristic
Stephen Donkin, Samuel Martin
Let be the special linear group of degree over an algebraically closed field . Let be the natural module and the th symmetric power. We consider here, for…