Splints of root systems on Lie Superalgebras

TL;DR

This paper classifies splints of root systems in classical Lie superalgebras, providing a superalgebraic framework that aids in deriving branching rules with potential applications in physics.

Contribution

It introduces a classification of root system splints for classical Lie superalgebras, extending classical root system splints to the superalgebra context.

Findings

Classified splints of root systems in classical Lie superalgebras

Provides a method to derive branching rules from these splints

Potential applications in theoretical physics

Abstract

This paper classifies the splints of the root system of classical Lie superalgebras as a superalgebraic conversion of the splints of classical root systems. It can be used to derive branching rules, which have potential physical application in theoretical physics.