34 citations · 105 across the 20 of their papers we have counts for
5 papers · 1 filter
Variations on a theme of Cline and Donkin
Brian Parshall, Leonard Scott
Let be a normal subgroup of a group . An -module is -stable provided that is equivalent to the twist of by , for every . If the action of…
A new approach to the Koszul property in representation theory using graded subalgebras
Brian Parshall, Leonard Scott
Given a quasi-hereditary algebra , we present conditions which guarantee that the algebra $\gr B$ obtained by grading by its radical filtration is Koszul and at the same tim…
Bounding Ext for modules for algebraic groups, finite groups, and quantum groups
Brian Parshall, Leonard Scott
Given a finite root system , we show that there is an integer such that $\dim\Ext_G^1(L,L')<c$, for any reductive algebraic group with root system and any irred…
Differentiating the Weyl generic dimension formula and support varieties for quantum groups
Christopher M. Drupieski, Daniel K. Nakano, Brian J. Parshall
The authors compute the support varieties of all irreducible modules for the small quantum group , where is a simple complex Lie algebra, and …
Extensions, Levi subgroups and character formulas
B. Parshall, L. Scott
This paper consists of three interconnected parts. Parts I,III study the relationship between the cohomology of a reductive group and that of a Levi subgroup. For example, we provi…