A remark about 6j symbols and young semi-normal form

TL;DR

This paper computes specific 6j symbols within the category of polynomial representations of infinite-dimensional general linear groups, contributing to the understanding of their algebraic structure.

Contribution

It introduces new calculations of 6j symbols in the context of polynomial representations of $GL( ext{infinity})$, expanding the computational tools available for this category.

Findings

Explicit values of certain 6j symbols computed.

Enhanced understanding of polynomial representation categories.

Potential applications in quantum algebra and representation theory.

Abstract

We compute some 6j symbols in the category of polynomial representations of $GL(\infty)$.