The representation-ring-graded local cohomology spectral sequence for BPR<3>

TL;DR

This paper explores the detailed behavior of a spectral sequence related to BPR<3>, providing explicit calculations and visualizations based on duality principles established in prior work.

Contribution

It offers an explicit description and visual representation of the spectral sequence for BPR<3>, building on previous duality results.

Findings

Explicit spectral sequence behavior characterized

Visual diagrams illustrating the spectral sequence

Enhanced understanding of BPR<3> calculations

Abstract

The purpose of this paper is to examine the calculational consequences of the duality for BPR<n> proved by the first author and Meier in 1607.02332, making them explicit in the special case n=3. We give an explicit description of the behaviour of the spectral sequence, with pictures.