Note on Centrally Extended su(2/2) and Serre Relations

TL;DR

This paper explores the relationship between the central extension of the superalgebra su(2/2) and certain Serre relations, highlighting less well-known algebraic structures.

Contribution

It reveals a connection between the central extension of su(2/2) and specific Serre relations, providing new insights into the algebra's structure.

Findings

Central extension of su(2/2) relates to lesser-known Serre relations

Clarifies algebraic structure of su(2/2) extensions

Provides a foundation for further algebraic studies

Abstract

We point out that the nontrivial central extension of the superalgebra $su(2/2)$ is related to the some not so well-known Serre relations.