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Closures of K-orbits in the flag variety for SU*(2n)

2009/07/06 by William M. McGovern, McGovern, William M.
Computer Science · Mathematics · #22E46 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.0907.1049

openalex publication_date 2009/07/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We characterize the Sp2n orbits in the flag variety for SL2n with rationally smooth closure via a pattern avoidance criterion, also showing that the singular and rationally singular loci of such orbit closures coincide.

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