# Lattice Operators for Moments of the Structure Functions and their Transformation under the Hypercubic Group

## TL;DR

This paper studies how lattice operators used in nucleon structure function calculations transform under the hypercubic group, providing explicit bases for tensors up to rank 4 to aid in symmetry analysis.

## Contribution

It introduces explicit bases of irreducible subspaces for tensors of rank up to 4, enhancing understanding of lattice operator transformations under the hypercubic group.

## Key findings

- Explicit bases for irreducible subspaces of tensors up to rank 4
- Detailed analysis of transformation properties under the hypercubic group
- Facilitates symmetry considerations in lattice QCD calculations

## Abstract

For lattice operators that are relevant to the calculation of moments of nucleon structure functions we investigate the transformation properties under the hypercubic group. We give explicit bases of irreducible subspaces for tensors of rank up to 4.