Research Article

Nilpotent lie algebras having the Schur multiplier of maximum dimension

Published in: Quaestiones Mathematicae
Volume 43 , issue 9 , 2020 , pages: 1239–1246

DOI: 10.2989/16073606.2019.1606123

Author(s): Peyman Niroomand , Iran , Afsaneh Shamsaki , Iran

Keywords: Primary: 17B30 , Secondary: 17B05 , 17B99 , Primary: 17B30 , Secondary: 17B05 , 17B99

Abstract

Let L be an n-dimensional nilpotent Lie algebra of nilpotency class c with the derived subalgebra of dimension m. Recently, Rai proved that the dimension of Schur multiplier of L is bounded by . In this paper, in virtue of a recent bound of Rai, we give the structure of all nilpotent Lie algebras that attain this bound.

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