An estimate of canonical dimension of groups based on Schubert calculus

2020/11/02 by Rostislav Devyatov, Devyatov, Rostislav
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Homotopy and Cohomology in Algebraic Topology #math.AG #math.GR #math.RT

paper · pdf · doi:10.48550/arxiv.2011.00950

openalex publication_date 2020/11/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

We sketch the proof of a connection between the canonical (0-)dimension of semisimple split simply connected groups and cohomology of their full flag varieties. Using this connection, we get a new estimate of the canonical (0-)dimension of simply connected split exceptional groups of type E understood as a group.

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