34 citations · 44 across the 3 of their papers we have counts for
5 papers · 1 filter
Restricting Rational Modules to Frobenius Kernels
Christopher P. Bendel, Daniel K. Nakano, Cornelius Pillen +1
Let be a connected reductive group over an algebraically closed field of characteristic . Given an indecomposable G-module , one can ask when it remains indecomposable…
Counterexamples to the Tilting and -Filtration Conjectures
Christopher P. Bendel, Daniel K. Nakano, Cornelius Pillen +1
In this paper the authors produce a projective indecomposable module for the Frobenius kernel of a simple algebraic group in characteristic that is not the restriction of an in…
On tensoring with the Steinberg representation
Christopher P. Bendel, Daniel K. Nakano, Cornelius Pillen +1
Let be a simple, simply connected algebraic group over an algebraically closed field of prime characteristic . Recent work of Kildetoft and Nakano and of Sobaje has shown…
Bounding extensions for finite groups and Frobenius kernels
Christopher P. Bendel, Daniel K. Nakano, Brian J. Parshall +3
Let G be a simple, simply connected algebraic group defined over an algebraically closed field k of positive characteristic p. Let σ:G->G be a strict endomorphism (i. e., the subgr…
Cohomology for quantum groups via the geometry of the nullcone
Christopher P. Bendel, Daniel K. Nakano, Brian J. Parshall +1
Let be a complex th root of unity for an odd integer . For any complex simple Lie algebra , let be the associated "small" qu…