Compact Hermitian Young projection operators

DOI10.1063/1.4983478zbMath1367.81077arXiv1610.10088OpenAlexW3099152591MaRDI QIDQ5738685

Heribert Weigert, J. Alcock-Zeilinger

Publication date: 12 June 2017

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.10088

zbMATH Keywords

bird track operatorHermitian Young projection operatorKeppeler-Sjodhal (KS) constructionmeasure of lexiacal disorder(MOLD) construction

Mathematics Subject Classification ID

Strong interaction, including quantum chromodynamics (81V05) Feynman diagrams (81T18) Applications of Lie groups to the sciences; explicit representations (22E70) Semisimple Lie groups and their representations (22E46) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Analysis on supermanifolds or graded manifolds (58C50)

Related Items (9)

Wigner 6j symbols for SU(N): Symbols with at least two quark-lines ⋮ Dynamical decomposition of bilinear control systems subject to symmetries ⋮ QCD multiplet bases with arbitrary parton ordering ⋮ Lower bound on entanglement in subspaces defined by Young diagrams ⋮ Simplification rules for birdtrack operators ⋮ Transition operators ⋮ A simple counting argument of the irreducible representations of \(\mathsf{SU}(N)\) on mixed product spaces ⋮ Positive maps and trace polynomials from the symmetric group ⋮ Symmetry-adapted decomposition of tensor operators and the visualization of coupled spin systems

Cites Work

• Orthogonal multiplet bases in SU\((N_c)\) color space
• Hermitian Young operators
• Simplification rules for birdtrack operators
• Transition operators
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