Orthogonal multiple flag varieties of finite type II : even degree case

2019/03/15 by Toshihiko Matsuki, Matsuki, Toshihiko
Mathematics · #22E46 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Representation Theory (math.RT) #Tensor decomposition and applications

paper · pdf · doi:10.48550/arxiv.1903.06335

openalex publication_date 2019/03/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let G be the split orthogonal group of degree 2n over an arbitrary infinite field \mathbbF of chararcteristic not 2. In this paper, we classify multiple flag varieties G/P₁×⋯× G/P_k of finite type. Here a multiple flag variety is said to be of finite type if it has a finite number of G-orbits with respect to the diagonal action of G.

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