A class of T-stable (P1 x ... x P1)'s in G/B

2000/07/01 by Christian Ohn, Ohn, Christian
Mathematics · #22E46 #51M35 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Primary 14M15 #Representation Theory (math.RT) #Secondary 14L30 #math.AG #math.DG #math.RT #msc:14L30 #msc:14M15 #msc:22E46 #msc:51M35

paper · pdf · doi:10.48550/arxiv.math/0007006

7 pages; needs LaTeX2e, AMS-LaTeX, and PSTricks (v2: section on orbit structure added)

openalex publication_date 2000/07/01 · arxiv created 2001/01/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let G be a connected complex semi-simple group, B a Borel subgroup of G, and T a maximal torus in B. We construct a class of smooth T-stable subvarieties inside the flag variety G/B, each of which is an embedding of a product of projective lines.

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