arXiv subjects

Arjun S N

Publications and source records attributed to Arjun S N.

2 recordsLinked to original sources

arXiv2022

On projective representations of Plesken Lie algebras

In this article we describe the projective representation of Plesken Lie algebras and equivalent central extensions of these algebras. Further it is also shown that there exists a bijective correspondence between second cohomology group, equivalent central extensions and projectively equivalent projective representations of Plesken Lie algebras.

math.RT↗

arXiv2021

On category of Lie algebras

In this paper we describe the the category of Lie algebras of group algebras and the category of Plesken Lie algebras and explore the categorical relations between them. Further we provide the examples of the Lie algebra of the group algebra of subgroups of Heisenburg group and the Plesken Lie algebra of subgroups of Heisenburg group.

math.CT↗