On the D-affinity of flag varieties in positive characteristic

TL;DR

This paper proves that the flag variety of a simple algebraic group of type B2 over an algebraically closed field of odd characteristic is D-affine, extending previous results in the area.

Contribution

It establishes the D-affinity of flag varieties for type B2 groups in odd characteristic, broadening the class of known D-affine varieties.

Findings

Flag variety G/B is D-affine for type B2 groups in odd characteristic.

Extends previous results by Andersen and Kaneda.

Provides new insights into D-module theory in positive characteristic.

Abstract

Let $G$ be a simple algebraic group of type $B_2$ over an algebraically closed field of odd characteristic. We prove that the flag variety $G/B$ is D-affine. This extends an earlier result of H.H.Andersen and M.Kaneda.