Springer fibers for the minimal and the minimal special nilpotent orbits

2017/05/10 by Dongkwan Kim, Kim, Dongkwan
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT) #math.AG #math.RT

paper · pdf · doi:10.48550/arxiv.1705.03963

openalex publication_date 2017/05/10 · arxiv created 2017/06/05 · arxiv updated 2017/06/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We describe Springer fibers corresponding to the minimal and minimal special nilpotent orbits of simple Lie algebras. As a result, we give an answer to the conjecture of Humphreys regarding some graphs attached to Springer fibers.

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• Parabolic induction for Springer fibres
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• Regular points in affine Springer fibers
• On the singularity of some special components of Springer fibers