Nilpotent Lie algebras of breadth type (0,3)

被引:1
作者
Kundu, Rijubrata [1 ,4 ]
Naik, Tushar Kanta [2 ]
Singh, Anupam [3 ]
机构
[1] Indian Inst Sci Educ & Res Mohali, Mohali, India
[2] Natl Inst Sci Educ & Res, OCC Homi Bhabha Natl Inst, Sch Math Sci, Bhubaneswar, Orissa, India
[3] Indian Inst Sci Educ & Res Pune, Pune, India
[4] Indian Inst Sci Educ & Res Mohali, Sect 81, Mohali 140306, India
关键词
Breadth type; Camina Lie algebras; nilpotent Lie algebras; REAL LINEAR-COMBINATIONS; FINITE P-GROUPS; CLASSIFICATION; MATRICES; FIELDS;
D O I
10.1080/00927872.2023.2188416
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
For a natural number m, a Lie algebra L over a field k is said to be of breadth type (0,m) if the co-dimension of the centralizer of every non-central element is m. In this article, we classify finite dimensional nilpotent Lie algebras of breadth type (0,3) over F-q of odd characteristic up to isomorphism. We also give a partial classification of the same over finite fields of even characteristic, C and R. We also discuss 2-step nilpotent Camina Lie algebras.
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页码:3792 / 3809
页数:18
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