2004/12/15 by Xuhua He, He, Xuhua · 1 citation
Mathematics · #20G15 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.math/0412302
openalex publication_date 2004/12/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let G be a connected, simple algebraic group over an algebraically closed field. There is a partition of the wonderful compactification G of G into finite many G-stable pieces, which were introduced by Lusztig. In this paper, we will investigate the closure of any G-stable piece in G. We will show that the closure is a disjoint union of some G-stable pieces, which was first conjectured by Lusztig. We will also prove the existence of cellular decomposition if the closure contains finitely many G-orbits.