On the dimension of the Schur multiplier of nilpotent lie algebras

Abstract

We give a bound on the dimension of the Schur multiplier of a finite dimensional nilpotent Lie algebra which sharpens the earlier known bounds.

Keywords:

• Schur multiplier
• nilpotent Lie algebra

2010 Mathematics Subject Classification:

• 17B30
• 17B56

Acknowledgments

I am very much thankful to Prof. Graham Ellis for the discussion of the proof of Lemma 3.1. I am also grateful to my post-doctoral supervisor Prof. Boris Kunyavskiĭ for his encouragement and support.

Additional information

Funding

This research was supported by Israel Council for Higher Education’s fellowship program and by ISF grant 1623/16.