TL;DR
This paper introduces Hermitian Young operators that project orthogonally onto irreducible representations of the unitary group, enhancing the mathematical tools for representation theory.
Contribution
It constructs Hermitian operators from conventional Young operators, providing orthogonal projections onto irreducible representations of the unitary group.
Findings
Hermitian Young operators are explicitly constructed.
These operators project orthogonally onto irreducible representations.
The method improves the mathematical framework for representation theory.
Abstract
Starting from conventional Young operators we construct Hermitian operators which project orthogonally onto irreducible representations of the (special) unitary group.
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