Normality of very even nilpotent varieties in D₂l

2003/09/18 by Eric Sommers, Sommers, Eric
Computer Science · Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Coding theory and cryptography #FOS: Mathematics #Representation Theory (math.RT) #math.AG #math.RT

paper · pdf · doi:10.48550/arxiv.math/0309308

arxiv created 2003/09/18 · openalex publication_date 2003/09/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For the classical groups, Kraft and Procesi have resolved the question of which nilpotent orbits have closures which are normal and which are not, with the exception of the very even orbits in D_2l which have partition of the form (a^2k, b²) for a, b distinct even natural numbers with a k + b = 2 l. In this article, we show that these orbits do have normal closure.

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