TL;DR
This paper establishes a criterion for the formality of the equivariant derived category with modular coefficients on partial flag varieties under Borel action, advancing understanding in modular representation theory.
Contribution
It provides a new criterion for the formality of equivariant derived categories in the modular setting, specifically for partial flag varieties.
Findings
Criteria for formality in modular equivariant derived categories
Application to partial flag varieties
Advancement in modular representation theory
Abstract
Let be a partial flag variety, equipped with the Borel action by multiplication. We give a criterion for the equivariant derived category with modular coefficients to be formal.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology