34 citations · 48 across the 10 of their papers we have counts for
15 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…
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…
On Donkin's Tilting Module Conjecture II: Counterexamples
Christopher P. Bendel, Daniel K. Nakano, Cornelius Pillen +1
In this paper we produce infinite families of counterexamples to Jantzen's question posed in 1980 on the existence of Weyl -filtrations for Weyl modules for an algebraic group a…
On Donkin's Tilting Module Conjecture I: Lowering the Prime
Christopher P. Bendel, Daniel K. Nakano, Cornelius Pillen +1
In this paper the authors provide a complete answer to Donkin's Tilting Module Conjecture for all rank semisimple algebraic groups and where is an algebr…