Nilpotent Lie algebras with two centralizer dimensions over a finite field

被引：0

作者：

Kundu, Rijubrata ^{[1
]}

Naik, Tushar Kanta ^{[2
]}

Singh, Anupam ^{[3
]}

机构：

[1] Indian Inst Sci Educ & Res Mohali, Sect 81, Mohali 140306, India

[2] Natl Inst Sci Educ & Res, OCC Homi Bhabha Natl Inst, Sch Math Sci, PO Jatni, Khurja 752050, Odisha, India

[3] Indian Inst Sci Educ & Res Pune, Dr Homi Bhabha Rd, Pune 411008, India

来源：

JOURNAL OF ALGEBRA | 2023年 / 633卷

关键词：

Nilpotent Lie algebras; Breadth type; Semifields; CLASSIFICATION;

D O I：

10.1016/j.jalgebra.2023.06.013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A result of Barnea and Isaacs states that if L is a finite dimensional nilpotent Lie algebra with exactly two distinct centralizer dimensions, then nilpotency class of L is either 2 or 3. In this article, we classify all such finite dimensional 3-step nilpotent Lie algebras over a finite field. & COPY; 2023 Elsevier Inc. All rights reserved.

引用

页码：362 / 388

页数：27

共 19 条

[1] Lie algebras with few centralizer dimensions [J].