The subalgebras of the rank two symplectic Lie algebra

被引：2

作者：

Douglas, Andrew ^{[1
,2
,3
,4
]}

Repka, Joe ^{[4
]}

机构：

[1] CUNY, Grad Ctr, PhD Program Math, New York, NY 10016 USA

[2] CUNY, Grad Ctr, PhD Program Phys, New York, NY 10016 USA

[3] CUNY, Dept Math, New York City Coll Technol, Brooklyn, NY 11201 USA

[4] Univ Toronto, Dept Math, Toronto, ON M5S 2E4, Canada

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2017年 / 527卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

Symplectic algebra; Classification of subalgebras; CLASSIFICATION;

D O I：

10.1016/j.laa.2017.03.031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The semisimple subalgebras of the rank 2 symplectic Lie algebra sp(4, C) are well-known, and we recently classified its Levi decomposable subalgebras. In this article, we classify the solvable subalgebras of sp(4, C), up to inner automorphism. This completes the classification of the subalgebras of 4(4, C). More broadly speaking, in completing the classification of the subalgebras of sp (4, C) we have completed the classification of the subalgebras of the rank 2 semisimple Lie algebras. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：303 / 348

页数：46

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