Webs for permutation supermodules of type Q

TL;DR

This paper develops a diagrammatic calculus and basis for intertwiners between permutation supermodules over the Sergeev superalgebra, advancing the understanding of their structure and interrelations.

Contribution

It introduces a novel diagrammatic approach and basis for intertwiners in permutation supermodules of the Sergeev superalgebra.

Findings

Diagrammatic calculus for intertwiners

Basis for space of intertwiners

Enhanced understanding of supermodule structure

Abstract

We give a diagrammatic calculus for the intertwiners between permutation supermodules over the Sergeev superalgebra. We also give a diagrammatic basis for the space of intertwiners between two permutation supermodules.