Defining relations of almost affine (hyperbolic) superalgebras

TL;DR

This paper computes the defining relations of almost affine (hyperbolic) Lie superalgebras using their Chevalley generators, providing a foundational understanding of their algebraic structure.

Contribution

It presents explicit defining relations for all almost affine (hyperbolic) Lie superalgebras, a novel comprehensive characterization.

Findings

Explicit relations for all almost affine superalgebras

Enhanced understanding of their algebraic structure

Facilitates further research in superalgebra theory

Abstract

For all almost affine (hyperbolic) Lie superalgebras, the defining relations are computed in terms of their Chevalley generators.