Stabilizers of subspaces under similitudes of the Klein quadric, and automorphisms of Heisenberg algebras

被引：5

作者：

Gulde, Michael ^{[1
]}

Stroppel, Markus ^{[1
]}

机构：

[1] Univ Stuttgart, Fachbereich Math, D-70550 Stuttgart, Germany

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2012年 / 437卷 / 04期

关键词：

Klein quadric; Grassmann space; Automorphism; Orbit; Nilpotent Lie algebra; Heisenberg algebra; Quadratic field extension; Quaternion algebra; LIE-ALGEBRAS; EMBEDDINGS;

D O I：

10.1016/j.laa.2012.03.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We determine the groups of automorphisms and their orbits for nilpotent Lie algebras of class 2 and small dimension, over arbitrary fields (including the characteristic 2 case). (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：1132 / 1161

页数：30

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