Metabelian thin Lie algebras

Norberto Gavioli; Valerio Monti; David S. Young

doi:10.1006/jabr.2001.8752

Metabelian thin Lie algebras

Norberto Gavioli^*, Valerio Monti, David S. Young

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

A graded Lie algebra is thin if it is generated by two elements of degree 1 and each of its homogeneous ideals is located between two consecutive terms of the lower central series. In this paper we give a complete classification of the metabelian thin Lie algebras and their graded automorphism groups.

Original language	English
Pages (from-to)	102-117
Number of pages	16
Journal	Journal of Algebra
Volume	241
Issue number	1
DOIs	https://doi.org/10.1006/jabr.2001.8752
Publication status	Published - 1 Jul 2001

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title = "Metabelian thin Lie algebras",

abstract = "A graded Lie algebra is thin if it is generated by two elements of degree 1 and each of its homogeneous ideals is located between two consecutive terms of the lower central series. In this paper we give a complete classification of the metabelian thin Lie algebras and their graded automorphism groups.",

keywords = "Graded Lie algebras, Loop algebras, Modular Lie algebras, Thin Lie algebras",

author = "Norberto Gavioli and Valerio Monti and Young, \{David S.\}",

year = "2001",

month = jul,

day = "1",

doi = "10.1006/jabr.2001.8752",

language = "English",

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journal = "Journal of Algebra",

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T1 - Metabelian thin Lie algebras

AU - Gavioli, Norberto

AU - Monti, Valerio

AU - Young, David S.

PY - 2001/7/1

Y1 - 2001/7/1

N2 - A graded Lie algebra is thin if it is generated by two elements of degree 1 and each of its homogeneous ideals is located between two consecutive terms of the lower central series. In this paper we give a complete classification of the metabelian thin Lie algebras and their graded automorphism groups.

AB - A graded Lie algebra is thin if it is generated by two elements of degree 1 and each of its homogeneous ideals is located between two consecutive terms of the lower central series. In this paper we give a complete classification of the metabelian thin Lie algebras and their graded automorphism groups.

KW - Graded Lie algebras

KW - Loop algebras

KW - Modular Lie algebras

KW - Thin Lie algebras

UR - https://www.scopus.com/pages/publications/0035402523

U2 - 10.1006/jabr.2001.8752

DO - 10.1006/jabr.2001.8752

M3 - Article

SN - 0021-8693

VL - 241

SP - 102

EP - 117

JO - Journal of Algebra

JF - Journal of Algebra

IS - 1

ER -

Metabelian thin Lie algebras

Abstract

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