On the dimension of Schur multiplier of Lie algebras of maximal class

TL;DR

This paper establishes a tighter upper bound for the Schur multiplier of nilpotent Lie algebras of maximal class, advancing understanding of their algebraic structure.

Contribution

It provides an improved upper bound for the Schur multiplier of maximal class nilpotent Lie algebras, refining previous estimates.

Findings

Derived a new upper bound for the Schur multiplier

Improved upon previous bounds for maximal class Lie algebras

Contributed to the structural understanding of nilpotent Lie algebras

Abstract

The paper is devoted to obtain an upper bound for the Schur multiplier of nilpotent Lie algebras of maximal class. It improves the later upper bounds on the Schur multiplier of such Lie algebras.