Classifying the orbits of the generalized symmetric spaces for SL2(Fq)

被引：2

作者：

Buell, C. ^{[1
]}

Helminck, A. ^{[2
]}

Klima, V. ^{[3
]}

Schaefer, J. ^{[4
]}

Wright, C. ^{[5
]}

Ziliak, E. ^{[6
]}

机构：

[1] Fitchburg State Univ, Dept Math, Fitchburg, MA 01420 USA

[2] Univ Hawaii Manoa, Coll Nat Sci, Honolulu, HI 96822 USA

[3] Appalachian State Univ, Dept Math Sci, Boone, NC 28608 USA

[4] Dickinson Coll, Carlisle, PA 17013 USA

[5] Jackson State Univ, Dept Math & Stat Sci, Jackson, MS USA

[6] Benedictine Univ, Math & Computat Sci, Lisle, IL USA

来源：

COMMUNICATIONS IN ALGEBRA | 2020年 / 48卷 / 04期

关键词：

Generalized symmetric space; special linear group; orbits; finite fields; SEMISIMPLE LIE-GROUPS; IRREDUCIBLE CHARACTERS; INVOLUTIONS; CLOSURES;

D O I：

10.1080/00927872.2019.1705471

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we will discuss the orbits of the fixed-point group on the tori of the generalized symmetric spaces of where k is a finite field. Specifically, we will provide a characterization and classification of the maximal k-split and k-anisotropic tori.

引用

页码：1744 / 1757

页数：14

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