Orthogonal multiple flag varieties of finite type I : Odd degree case

Toshihiko Matsuki

Orthogonal multiple flag varieties of finite type I : Odd degree case

Representation Theory 2016-03-08 v2

Authors: Toshihiko Matsuki

Abstract

Let $G$ be the split orthogonal group of degree $2n+1$ over an arbitrary field $\mathbb{F}$ of ${\rm char}\,\mathbb{F}\ne 2$ . In this paper, we classify multiple flag varieties $G/P_1\times\cdots\times G/P_k$ of finite type. Here a multiple flag variety is called of finite type if it has a finite number of $G$ -orbits with respect to the diagonal action of $G$ when $|\mathbb{F}|=\infty$ .

Keywords

orthogonal group multiple flag varieties finite type group orbits diagonal action classification

Cite

@article{arxiv.1402.6405,
  title  = {Orthogonal multiple flag varieties of finite type I : Odd degree case},
  author = {Toshihiko Matsuki},
  journal= {arXiv preprint arXiv:1402.6405},
  year   = {2016}
}

Comments

60 pages. There was a mistake on $\mathbb{F}^\times/(\mathbb{F}\times)^2$ in the first version. The main theorem is reformed

Orthogonal multiple flag varieties of finite type I : Odd degree case

Abstract

Keywords

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