On Minimal Faithful Representations of a Class of Nilpotent Lie Algebras

被引：0

作者：

Alejandra Alvarez, Maria ^{[1
]}

Rojas, Nadina ^{[2
]}

机构：

[1] Univ Antofagasta, Fac Ciencias Basicas, Dept Matemat, Antofagasta, Chile

[2] Univ Nacl Cordoba, FaCEFyN CIEM CONICET, Medina Allende S-N,Ciudad Univ, RA-5000 Cordoba, Argentina

来源：

FILOMAT | 2021年 / 35卷 / 05期

关键词：

Nilrepresentation; Minimal Faithful Representation; Nilpotent Lie algebras; Nilradicals; REFINEMENT; MODULES; FAMILY;

D O I：

10.2298/FIL2105671A

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we consider 2-step nilradicals of parabolic subalgebras of the simple Lie algebra A(n) and describe a new family of faithful nil-representations of the nilradicals n(a,c), a, c is an element of N. We obtain a sharp upper bound for the minimal dimension mu(n(a,c)) and for several pairs (a, c) we obtain mu(n(a,c)).

引用

页码：1671 / 1686

页数：16

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