CHARACTERIZATION OF FINITE DIMENSIONAL NILPOTENT LIE ALGEBRAS BY THE DIMENSION OF THEIR SCHUR MULTIPLIERS, s(L) = 5

IF 0.2 4区数学 Q4 MATHEMATICS Mathematical Reports Pub Date : 2019-02-11 DOI:10.59277/mrar.2023.25.75.2.301

A. Shamsaki, P. Niroomand

引用次数: 3

Abstract

It is known that the dimension of the Schur multiplier of a non-abelian nilpotent Lie algebra L of dimension n is equal to 1 2 (n − 1)(n − 2) + 1 − s(L) for some s(L) ≥ 0. The structure of all nilpotent Lie algebras has been given for s(L) ≤ 4 in several

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有限维幂零李代数的舒尔乘子维数表征，s(L) = 5

已知n维的非阿贝尔幂零李代数L的舒尔乘子的维数为1 2 (n−1)(n−2)+ 1−s(L)，当s(L)≥0时。给出了s(L)≤4时所有幂零李代数的结构

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Mathematical Reports MATHEMATICS-

CiteScore

0.20

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0.00%

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>12 weeks

期刊介绍： The journal MATHEMATICAL REPORTS (formerly STUDII SI CERCETARI MATEMATICE) was founded in 1948 by the Mathematics Section of the Romanian Academy. It appeared under its first name until 1998 and received the name of Mathematical Reports in 1999. It is now published in one volume a year, consisting in 4 issues. The current average total number of pages is 500. Our journal MATHEMATICAL REPORTS publishes original mathematical papers, written in English. Excellent survey articles may be also accepted. The editors will put strong emphasis on originality, quality and applicability.

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