Compact Hermitian Young projection operators
J. Alcock-Zeilinger, H. Weigert · Journal of Mathematical Physics · 2017
In this paper, we describe a compact and practical algorithm to construct Hermitian Young projection operators for irreducible representations of the special unitary group 𝖲𝖴(N) and discuss why ordinary non-Hermitian Young projection operators are unsuitable for physics applications. The proof of this construction algorithm uses the iterative method described by Keppeler and Sjödahl [J. Math. Phys. 55, 021702 (2014)]. We further show that Hermitian Young projection operators share desirable properties with Young tableaux, namely, a nested hierarchy when “adding a particle.” We close by exhibiting the enormous advantage of the Hermitian Young projection operators constructed in this paper over those given by Keppeler and Sjödahl.