34 citations · 57 across the 14 of their papers we have counts for
19 papers
On Donkin's Tilting Module Conjecture IV: New Frontiers
Christopher P. Bendel, Daniel K. Nakano, Cornelius Pillen +1
Let be a simple, simply connected algebraic group scheme defined over , and let be the th Frobenius kernel. Donkin's famous Tilting Module Conjecture…
Linear Bounds for Cohomology of Algebraic Groups
Christopher P. Bendel, Nham Ngo
In this note, we establish an explicit upper bound for the dimension of the rational cohomology for a simple algebraic group over an algebraically closed field of prime characteris…
On the induction functor from group algebras to distribution algebras
Christopher P. Bendel, Daniel K. Nakano, Cornelius Pillen
Let be a reductive algebraic group scheme defined over and be an algebraically closed field of characteristic . There are two associated families of fi…
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…
On Donkin's Tilting Module Conjecture III: New Generic Lower Bounds
Christopher P. Bendel, Daniel K. Nakano, Cornelius Pillen +1
In this paper the authors consider four questions of primary interest for the representation theory of reductive algebraic groups: (i) Donkin's Tilting Module Conjecture, (ii) the…
Cohomology of algebraic groups, Lie algebras, and finite groups of Lie type
Christopher P. Bendel
Let G be a reductive algebraic group over a field of prime characteristic. One can associate to G (or subgroups thereof) its Lie algebra, its Frobenius kernels, and the finite Chev…