Weyl's Character Formula for $SU(3)$ - A Generating Function Approach

TL;DR

This paper derives Weyl's character formula for the group SU(3) by employing a generating function approach based on Schwinger's technique, providing a new perspective on representation theory.

Contribution

It introduces a generating function method to derive Weyl's character formula for SU(3), offering a novel analytical tool in the study of Lie group representations.

Findings

Derived Weyl's character formula for SU(3) using generating functions.

Connected Schwinger's technique with representation theory.

Provided a new analytical approach to compute characters.

Abstract

Using a generating function for the Wigner's $D$-matrix elements of $SU(3)$ Weyl's character formula for $SU(3)$ is derived using Schwinger's technique.