7 citations · 16 across the 17 of their papers we have counts for
25 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…
Steinberg quotients and Smith-Treumann localization
Pramod N. Achar, Paul Sobaje
Smith-Treumann localization for sheaves on the affine Grassmannian of a reductive group has previously been studied by Leslie-Lonergan (for spherical sheaves) and by Riche-Williams…
The Torus Centralizing Subalgebra of
Paul Sobaje
Let be a simple and simply connected algebraic group over a field of characteristic , and its -th Frobenius kernel. In this paper, we initiate a general study of…
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…
Steinberg quotients, Weyl Characters, and Kazhdan-Lusztig Polynomials
Paul Sobaje
Let be a reductive group over a field of prime characteristic. An indecomposable tilting module for whose highest weight lies above the Steinberg weight has a character tha…
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…