P. Sobaje

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math.RT2026

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…

math.RT2025

The Torus Centralizing Subalgebra of $Dist (G_{r})$

Paul Sobaje

Let $G$ be a simple and simply connected algebraic group over a field of characteristic $p > 0$ , and $G_{r}$ its $r$ -th Frobenius kernel. In this paper, we initiate a general study of…

math.RT2024

Restricting Rational Modules to Frobenius Kernels

Christopher P. Bendel, Daniel K. Nakano, Cornelius Pillen +1

Let $G$ be a connected reductive group over an algebraically closed field of characteristic $p > 0$ . Given an indecomposable G-module $M$ , one can ask when it remains indecomposable…

Steinberg quotients and Smith-Treumann localization

The Torus Centralizing Subalgebra of Dist(Gr​)

Restricting Rational Modules to Frobenius Kernels

The Torus Centralizing Subalgebra of $Dist (G_{r})$